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![maths - Reasoning Complete Rules Mathemarical 1. STATEMENT २. SIMPLE & COMPOUND STATEMENTS Simple sfafemenf A sfqfement is & senfence thqt is cannof be broken false buf nof both true further eifher Or using formed Compound sfafemenf Examples: logical connecfives 2 + 3 = 5 (True) is an even number (False) 4. TRUTH VALUES TABLE (SUMMARY) pAq pVq ٥»٩ p<q ३. LOGICAL CONNECTIVES =٥ p FTF (a) Negation (-p) = T If p is True; -p is false F If p is false -p is frue. ٤ T F F T ٤ (b) Conjunction (p^q) Read as p AND q 5. TAUTOLOGY & CONTRADICTION True only when both p and are Tautology always frue True dlways false Contradiction (c) Disjunction (p ٧و) Read as p OR False only when both p and 6. CONVERSE INVERSE & CONTRAPOSITIVE are false For p -> ৭: Converse - q p (d) Implication (p > q) Inverse 7p 7q [f P, then q Read as Confraposifive > -q 7p 2 False only when p is True ond ৭ contrapositive] p =0 is fdlse; (e) Biconditional (p < 9) 8. QUANTIFIERS p if qnd only if q" Read as (a) Universal Quanfifier 7 VALID & INVALID ARGUMENTS for all Meaning: An argument is valid if the conclusion (b) Existential Quantifier (3) logicqlly follows from premises.. Meaningः there exists 9. NEGATION OF STATEMENTS WITH 0. IMPORTANT POINTS QUANTIFIERS definife A statement must havel truth value -(Vx p(x)) = Jx -p(x) Mathematical reasoning is logic-based} -(3x p(x)) = Vx -p(x) not cdlculdtion-bused verify compound help Trufh tqbles statements Reasoning Complete Rules Mathemarical 1. STATEMENT २. SIMPLE & COMPOUND STATEMENTS Simple sfafemenf A sfqfement is & senfence thqt is cannof be broken false buf nof both true further eifher Or using formed Compound sfafemenf Examples: logical connecfives 2 + 3 = 5 (True) is an even number (False) 4. TRUTH VALUES TABLE (SUMMARY) pAq pVq ٥»٩ p<q ३. LOGICAL CONNECTIVES =٥ p FTF (a) Negation (-p) = T If p is True; -p is false F If p is false -p is frue. ٤ T F F T ٤ (b) Conjunction (p^q) Read as p AND q 5. TAUTOLOGY & CONTRADICTION True only when both p and are Tautology always frue True dlways false Contradiction (c) Disjunction (p ٧و) Read as p OR False only when both p and 6. CONVERSE INVERSE & CONTRAPOSITIVE are false For p -> ৭: Converse - q p (d) Implication (p > q) Inverse 7p 7q [f P, then q Read as Confraposifive > -q 7p 2 False only when p is True ond ৭ contrapositive] p =0 is fdlse; (e) Biconditional (p < 9) 8. QUANTIFIERS p if qnd only if q" Read as (a) Universal Quanfifier 7 VALID & INVALID ARGUMENTS for all Meaning: An argument is valid if the conclusion (b) Existential Quantifier (3) logicqlly follows from premises.. Meaningः there exists 9. NEGATION OF STATEMENTS WITH 0. IMPORTANT POINTS QUANTIFIERS definife A statement must havel truth value -(Vx p(x)) = Jx -p(x) Mathematical reasoning is logic-based} -(3x p(x)) = Vx -p(x) not cdlculdtion-bused verify compound help Trufh tqbles statements - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_842307_19436a7e_1773583840972_sc.jpg?tenant=sc&referrer=user-profile-service%2FrequestType50&f=972_sc.jpg "maths - Reasoning Complete Rules Mathemarical 1. STATEMENT २. SIMPLE & COMPOUND STATEMENTS Simple sfafemenf A sfqfement is & senfence thqt is cannof be broken false buf nof both true further eifher Or using formed Compound sfafemenf Examples: logical connecfives 2 + 3 = 5 (True) is an even number (False) 4. TRUTH VALUES TABLE (SUMMARY) pAq pVq ٥»٩ p<q ३. LOGICAL CONNECTIVES =٥ p FTF (a) Negation (-p) = T If p is True; -p is false F If p is false -p is frue. ٤ T F F T ٤ (b) Conjunction (p^q) Read as p AND q 5. TAUTOLOGY & CONTRADICTION True only when both p and are Tautology always frue True dlways false Contradiction (c) Disjunction (p ٧و) Read as p OR False only when both p and 6. CONVERSE INVERSE & CONTRAPOSITIVE are false For p -> ৭: Converse - q p (d) Implication (p > q) Inverse 7p 7q [f P, then q Read as Confraposifive > -q 7p 2 False only when p is True ond ৭ contrapositive] p =0 is fdlse; (e) Biconditional (p < 9) 8. QUANTIFIERS p if qnd only if q\" Read as (a) Universal Quanfifier 7 VALID & INVALID ARGUMENTS for all Meaning: An argument is valid if the conclusion (b) Existential Quantifier (3) logicqlly follows from premises.. Meaningः there exists 9. NEGATION OF STATEMENTS WITH 0. IMPORTANT POINTS QUANTIFIERS definife A statement must havel truth value -(Vx p(x)) = Jx -p(x) Mathematical reasoning is logic-based} -(3x p(x)) = Vx -p(x) not cdlculdtion-bused verify compound help Trufh tqbles statements Reasoning Complete Rules Mathemarical 1. STATEMENT २. SIMPLE & COMPOUND STATEMENTS Simple sfafemenf A sfqfement is & senfence thqt is cannof be broken false buf nof both true further eifher Or using formed Compound sfafemenf Examples: logical connecfives 2 + 3 = 5 (True) is an even number (False) 4. TRUTH VALUES TABLE (SUMMARY) pAq pVq ٥»٩ p<q ३. LOGICAL CONNECTIVES =٥ p FTF (a) Negation (-p) = T If p is True; -p is false F If p is false -p is frue. ٤ T F F T ٤ (b) Conjunction (p^q) Read as p AND q 5. TAUTOLOGY & CONTRADICTION True only when both p and are Tautology always frue True dlways false Contradiction (c) Disjunction (p ٧و) Read as p OR False only when both p and 6. CONVERSE INVERSE & CONTRAPOSITIVE are false For p -> ৭: Converse - q p (d) Implication (p > q) Inverse 7p 7q [f P, then q Read as Confraposifive > -q 7p 2 False only when p is True ond ৭ contrapositive] p =0 is fdlse; (e) Biconditional (p < 9) 8. QUANTIFIERS p if qnd only if q\" Read as (a) Universal Quanfifier 7 VALID & INVALID ARGUMENTS for all Meaning: An argument is valid if the conclusion (b) Existential Quantifier (3) logicqlly follows from premises.. Meaningः there exists 9. NEGATION OF STATEMENTS WITH 0. IMPORTANT POINTS QUANTIFIERS definife A statement must havel truth value -(Vx p(x)) = Jx -p(x) Mathematical reasoning is logic-based} -(3x p(x)) = Vx -p(x) not cdlculdtion-bused verify compound help Trufh tqbles statements - ShareChat")
![maths - Differentidl Equdtions Complefe Formulas DIFFERENTIAL EQUATION 2. ORDER & DEGREE DEFINITION 1 An equafion involving derivafives of a highesf order derivafive presenf Order dependent variable with respect to an power of highest order Degree derivative (when equation is polynomial | independent vqriqble is cqlled differenfiql equqtion . in derivatives) FORMATION OF DIFFERENTIAL EQUATION 3. GENERAL & PARTICULAR SOLUTION Eliminate arbitrary constants from the Generql solufion contains arbitrary given equation to form the differential constant(s) equarion. obfained by Particular solution assigning specific values to constants HOMOGENEOUS DIFFERENTIAL EQUATION 5. VARIABLES SEPARABLE FORM 6. A differenfial equafion of Ihe form: If equation is of the form: dx | f(x) g(y) dx =F(X) (gt)dy f(x) dx Then; Put ٧ VX dx d = v + * Infegrafe bofh sides 8. BERNOULLIS DIFFERENTIAL EQUATION ७. LINEAR DIFFERENTIAL EQUATION (LDE) Form : Standard form: Py Qy Py = Q efP dx Infegrafing Facfor (IF): Divide by Y and convert into linear IF = form. ((Q *IF) dx + C Solution : ٧ x I٤ 10. ORTHOGONAL TRAJECTORIES (BASIC IDEA) 9. EXACT DIFFERENTIAL EQUATION dy Slope Mdx + Ndy Given: 0 of curve dx M N Condition for exactness of orfhogonal frajecfory Slope y 0x dx Solution obtained by integrating M with] respect to * and N with respect to Y 12. IMPORTANT POINTS ll. IMPORTANT STANDARD RESULTS Every differential equation has dX = X + C infinitely many solutions Xn+1 xn dx గ+1 + C particular Inifial condifions give J ex d ' e* + C solution xdx = Inlxl + C Integration constant is compulsory Differentidl Equdtions Complefe Formulas DIFFERENTIAL EQUATION 2. ORDER & DEGREE DEFINITION 1 An equafion involving derivafives of a highesf order derivafive presenf Order dependent variable with respect to an power of highest order Degree derivative (when equation is polynomial | independent vqriqble is cqlled differenfiql equqtion . in derivatives) FORMATION OF DIFFERENTIAL EQUATION 3. GENERAL & PARTICULAR SOLUTION Eliminate arbitrary constants from the Generql solufion contains arbitrary given equation to form the differential constant(s) equarion. obfained by Particular solution assigning specific values to constants HOMOGENEOUS DIFFERENTIAL EQUATION 5. VARIABLES SEPARABLE FORM 6. A differenfial equafion of Ihe form: If equation is of the form: dx | f(x) g(y) dx =F(X) (gt)dy f(x) dx Then; Put ٧ VX dx d = v + * Infegrafe bofh sides 8. BERNOULLIS DIFFERENTIAL EQUATION ७. LINEAR DIFFERENTIAL EQUATION (LDE) Form : Standard form: Py Qy Py = Q efP dx Infegrafing Facfor (IF): Divide by Y and convert into linear IF = form. ((Q *IF) dx + C Solution : ٧ x I٤ 10. ORTHOGONAL TRAJECTORIES (BASIC IDEA) 9. EXACT DIFFERENTIAL EQUATION dy Slope Mdx + Ndy Given: 0 of curve dx M N Condition for exactness of orfhogonal frajecfory Slope y 0x dx Solution obtained by integrating M with] respect to * and N with respect to Y 12. IMPORTANT POINTS ll. IMPORTANT STANDARD RESULTS Every differential equation has dX = X + C infinitely many solutions Xn+1 xn dx గ+1 + C particular Inifial condifions give J ex d ' e* + C solution xdx = Inlxl + C Integration constant is compulsory - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_396970_15360c0f_1773570395732_sc.jpg?tenant=sc&referrer=user-profile-service%2FrequestType50&f=732_sc.jpg "maths - Differentidl Equdtions Complefe Formulas DIFFERENTIAL EQUATION 2. ORDER & DEGREE DEFINITION 1 An equafion involving derivafives of a highesf order derivafive presenf Order dependent variable with respect to an power of highest order Degree derivative (when equation is polynomial | independent vqriqble is cqlled differenfiql equqtion . in derivatives) FORMATION OF DIFFERENTIAL EQUATION 3. GENERAL & PARTICULAR SOLUTION Eliminate arbitrary constants from the Generql solufion contains arbitrary given equation to form the differential constant(s) equarion. obfained by Particular solution assigning specific values to constants HOMOGENEOUS DIFFERENTIAL EQUATION 5. VARIABLES SEPARABLE FORM 6. A differenfial equafion of Ihe form: If equation is of the form: dx | f(x) g(y) dx =F(X) (gt)dy f(x) dx Then; Put ٧ VX dx d = v + * Infegrafe bofh sides 8. BERNOULLIS DIFFERENTIAL EQUATION ७. LINEAR DIFFERENTIAL EQUATION (LDE) Form : Standard form: Py Qy Py = Q efP dx Infegrafing Facfor (IF): Divide by Y and convert into linear IF = form. ((Q *IF) dx + C Solution : ٧ x I٤ 10. ORTHOGONAL TRAJECTORIES (BASIC IDEA) 9. EXACT DIFFERENTIAL EQUATION dy Slope Mdx + Ndy Given: 0 of curve dx M N Condition for exactness of orfhogonal frajecfory Slope y 0x dx Solution obtained by integrating M with] respect to * and N with respect to Y 12. IMPORTANT POINTS ll. IMPORTANT STANDARD RESULTS Every differential equation has dX = X + C infinitely many solutions Xn+1 xn dx గ+1 + C particular Inifial condifions give J ex d ' e* + C solution xdx = Inlxl + C Integration constant is compulsory Differentidl Equdtions Complefe Formulas DIFFERENTIAL EQUATION 2. ORDER & DEGREE DEFINITION 1 An equafion involving derivafives of a highesf order derivafive presenf Order dependent variable with respect to an power of highest order Degree derivative (when equation is polynomial | independent vqriqble is cqlled differenfiql equqtion . in derivatives) FORMATION OF DIFFERENTIAL EQUATION 3. GENERAL & PARTICULAR SOLUTION Eliminate arbitrary constants from the Generql solufion contains arbitrary given equation to form the differential constant(s) equarion. obfained by Particular solution assigning specific values to constants HOMOGENEOUS DIFFERENTIAL EQUATION 5. VARIABLES SEPARABLE FORM 6. A differenfial equafion of Ihe form: If equation is of the form: dx | f(x) g(y) dx =F(X) (gt)dy f(x) dx Then; Put ٧ VX dx d = v + * Infegrafe bofh sides 8. BERNOULLIS DIFFERENTIAL EQUATION ७. LINEAR DIFFERENTIAL EQUATION (LDE) Form : Standard form: Py Qy Py = Q efP dx Infegrafing Facfor (IF): Divide by Y and convert into linear IF = form. ((Q *IF) dx + C Solution : ٧ x I٤ 10. ORTHOGONAL TRAJECTORIES (BASIC IDEA) 9. EXACT DIFFERENTIAL EQUATION dy Slope Mdx + Ndy Given: 0 of curve dx M N Condition for exactness of orfhogonal frajecfory Slope y 0x dx Solution obtained by integrating M with] respect to * and N with respect to Y 12. IMPORTANT POINTS ll. IMPORTANT STANDARD RESULTS Every differential equation has dX = X + C infinitely many solutions Xn+1 xn dx గ+1 + C particular Inifial condifions give J ex d ' e* + C solution xdx = Inlxl + C Integration constant is compulsory - ShareChat")
![maths - Linedr Inequdlities Complete Formulqs 2. LINEAR INEQUALITY IN ONE VARIABLE INEQUALITIES BASIC SYMBOLS General form: Greater than: ax + b > 0 Less thon: ax + b < 0 Greater than or equal toः > b > 0 ax Less than or equal to: < b<0 X 3. RULES FOR SOLVING INEQUALITIES 4. SOLUTION SET Adding or subtracting the same number on both The solution of an inequality is] the set of dll volues of the sides does not change the inequality sign. variable that satisfy it Multiplying or dividing both sides by a positive Inequdlity sign remdins the sume number Multiplying or dividing both sides by a negative Inequality sign is reversed number >2 6. LINEAR INEQUALITIES IN 5. GRAPHICAL REPRESENTATION ON NUMBER LINE TWO VARIABLES Open circle (o) for or General form: Closed circle for < or > by < c 5 X by > c shows direction of solution ax Arrow by < c X by > c aX SOLUTION OF LINEAR INEQUALITY IN 8. GRAPHICAL RULES TWO VARIABLES Dotted line for < or Steps: Solid line for < or 2 Replace inequality with equality: ax by = @ Shaded region represents solution set Draw the boundary line Choose a test point (usually origin) Check which region satisfies the inequality Shade the required region | 10. IMPORTANT POINTS 9. SYSTEM OF LINEAR INEQUALITIES Inequalities have infinitely many solutions The common shaded region satisfying all Graphical method is compulsory for two] inequdlities is the solution variables Boundary line may or may not be included) Linedr Inequdlities Complete Formulqs 2. LINEAR INEQUALITY IN ONE VARIABLE INEQUALITIES BASIC SYMBOLS General form: Greater than: ax + b > 0 Less thon: ax + b < 0 Greater than or equal toः > b > 0 ax Less than or equal to: < b<0 X 3. RULES FOR SOLVING INEQUALITIES 4. SOLUTION SET Adding or subtracting the same number on both The solution of an inequality is] the set of dll volues of the sides does not change the inequality sign. variable that satisfy it Multiplying or dividing both sides by a positive Inequdlity sign remdins the sume number Multiplying or dividing both sides by a negative Inequality sign is reversed number >2 6. LINEAR INEQUALITIES IN 5. GRAPHICAL REPRESENTATION ON NUMBER LINE TWO VARIABLES Open circle (o) for or General form: Closed circle for < or > by < c 5 X by > c shows direction of solution ax Arrow by < c X by > c aX SOLUTION OF LINEAR INEQUALITY IN 8. GRAPHICAL RULES TWO VARIABLES Dotted line for < or Steps: Solid line for < or 2 Replace inequality with equality: ax by = @ Shaded region represents solution set Draw the boundary line Choose a test point (usually origin) Check which region satisfies the inequality Shade the required region | 10. IMPORTANT POINTS 9. SYSTEM OF LINEAR INEQUALITIES Inequalities have infinitely many solutions The common shaded region satisfying all Graphical method is compulsory for two] inequdlities is the solution variables Boundary line may or may not be included) - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_398320_12a45ff5_1773486397161_sc.jpg?tenant=sc&referrer=user-profile-service%2FrequestType50&f=161_sc.jpg "maths - Linedr Inequdlities Complete Formulqs 2. LINEAR INEQUALITY IN ONE VARIABLE INEQUALITIES BASIC SYMBOLS General form: Greater than: ax + b > 0 Less thon: ax + b < 0 Greater than or equal toः > b > 0 ax Less than or equal to: < b<0 X 3. RULES FOR SOLVING INEQUALITIES 4. SOLUTION SET Adding or subtracting the same number on both The solution of an inequality is] the set of dll volues of the sides does not change the inequality sign. variable that satisfy it Multiplying or dividing both sides by a positive Inequdlity sign remdins the sume number Multiplying or dividing both sides by a negative Inequality sign is reversed number >2 6. LINEAR INEQUALITIES IN 5. GRAPHICAL REPRESENTATION ON NUMBER LINE TWO VARIABLES Open circle (o) for or General form: Closed circle for < or > by < c 5 X by > c shows direction of solution ax Arrow by < c X by > c aX SOLUTION OF LINEAR INEQUALITY IN 8. GRAPHICAL RULES TWO VARIABLES Dotted line for < or Steps: Solid line for < or 2 Replace inequality with equality: ax by = @ Shaded region represents solution set Draw the boundary line Choose a test point (usually origin) Check which region satisfies the inequality Shade the required region | 10. IMPORTANT POINTS 9. SYSTEM OF LINEAR INEQUALITIES Inequalities have infinitely many solutions The common shaded region satisfying all Graphical method is compulsory for two] inequdlities is the solution variables Boundary line may or may not be included) Linedr Inequdlities Complete Formulqs 2. LINEAR INEQUALITY IN ONE VARIABLE INEQUALITIES BASIC SYMBOLS General form: Greater than: ax + b > 0 Less thon: ax + b < 0 Greater than or equal toः > b > 0 ax Less than or equal to: < b<0 X 3. RULES FOR SOLVING INEQUALITIES 4. SOLUTION SET Adding or subtracting the same number on both The solution of an inequality is] the set of dll volues of the sides does not change the inequality sign. variable that satisfy it Multiplying or dividing both sides by a positive Inequdlity sign remdins the sume number Multiplying or dividing both sides by a negative Inequality sign is reversed number >2 6. LINEAR INEQUALITIES IN 5. GRAPHICAL REPRESENTATION ON NUMBER LINE TWO VARIABLES Open circle (o) for or General form: Closed circle for < or > by < c 5 X by > c shows direction of solution ax Arrow by < c X by > c aX SOLUTION OF LINEAR INEQUALITY IN 8. GRAPHICAL RULES TWO VARIABLES Dotted line for < or Steps: Solid line for < or 2 Replace inequality with equality: ax by = @ Shaded region represents solution set Draw the boundary line Choose a test point (usually origin) Check which region satisfies the inequality Shade the required region | 10. IMPORTANT POINTS 9. SYSTEM OF LINEAR INEQUALITIES Inequalities have infinitely many solutions The common shaded region satisfying all Graphical method is compulsory for two] inequdlities is the solution variables Boundary line may or may not be included) - ShareChat")
![maths - Statistics - · Complete Formulas 1. Mean ( Arithmetic Mean ) ( a ) Individual Series Mean ( x ) = x n ( b ) Discrete Series Mean ( x ) = Σfx Σf ( c ) Continuous Series - Direct Method Mean ( x ) = fx Σf ( d ) Assumed Mean Method x = a + ( Efd ) Where : dx - a ( e ) Step Deviation Method x = a + ( Σfd ) x h Where : d = 3. Mode x - a h ( a ) Discrete / Individual Series Mode = Value occurring most frequently ( b ) Continuous Series Mode = 1 + [ f₁ - fo [ 2f1 - fo - f2 ] 5. Variance ( a ) Individual Series σ² = Σ ( x - x ) ² n ( b ) Discrete Series 02 Σf ( x - x ) ² Σf ( c ) Step Deviation Method 02 = x h [ Σf d² - ( 3rd ) ² ] × h² ΣΑ x 2. Median ( a ) Individual Series ( b ) Discrete Series Median n + 1 2 th observation Median = Value corresponding to cumulative frequency ≥2 ( c ) Continuous Series Median = 1+ [ ( ) ] xh n Where : lower limit of median class cf cumulative frequency before median class f = frequency of median class hclass width 4. Empirical Relation Mode = 3 Median - 2 Mean f1 = frequency of modal class fo frequency of preceeding class = = f2 frequency of succeeding class 6. Standard Deviation Standard Deviation ( σ ) = √Variance = 7. Coefficient of Variation ( CV ) σ CV = × 100 x 8. Comparison of Two Data Sets Greater CV Smaller CV Greater variability More consistency - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_185459_1913881c_1773454876584_sc.jpg?tenant=sc&referrer=user-profile-service%2FrequestType50&f=584_sc.jpg "maths - Statistics - · Complete Formulas 1. Mean ( Arithmetic Mean ) ( a ) Individual Series Mean ( x ) = x n ( b ) Discrete Series Mean ( x ) = Σfx Σf ( c ) Continuous Series - Direct Method Mean ( x ) = fx Σf ( d ) Assumed Mean Method x = a + ( Efd ) Where : dx - a ( e ) Step Deviation Method x = a + ( Σfd ) x h Where : d = 3. Mode x - a h ( a ) Discrete / Individual Series Mode = Value occurring most frequently ( b ) Continuous Series Mode = 1 + [ f₁ - fo [ 2f1 - fo - f2 ] 5. Variance ( a ) Individual Series σ² = Σ ( x - x ) ² n ( b ) Discrete Series 02 Σf ( x - x ) ² Σf ( c ) Step Deviation Method 02 = x h [ Σf d² - ( 3rd ) ² ] × h² ΣΑ x 2. Median ( a ) Individual Series ( b ) Discrete Series Median n + 1 2 th observation Median = Value corresponding to cumulative frequency ≥2 ( c ) Continuous Series Median = 1+ [ ( ) ] xh n Where : lower limit of median class cf cumulative frequency before median class f = frequency of median class hclass width 4. Empirical Relation Mode = 3 Median - 2 Mean f1 = frequency of modal class fo frequency of preceeding class = = f2 frequency of succeeding class 6. Standard Deviation Standard Deviation ( σ ) = √Variance = 7. Coefficient of Variation ( CV ) σ CV = × 100 x 8. Comparison of Two Data Sets Greater CV Smaller CV Greater variability More consistency - ShareChat")
![grammer - PRONOUN - TYPES PRONOUN PERSONAL 1. 0ق Used to Definition reploce noun 0 they he, she, it, Examples T, We; you, Object Pronouns Subject Pronouns they him, her, it, them T, We, he, she, it, you, me , US, Jou, POSSESSIVE_PRONOUN 2. Shows_ownership Definition] mine, ours,_yours, his, hers, theirs] Examples న DEMONSTRATTVE PRONOUNAYAYAYAYAYAYAY AYAYAY 3 things | Pointsto_specific_persons Definition] 01 this, that, these, those Examples > REFLEXIVE PRONOUN ^ Refers back to the subject Definition] 8 myself , himself , herself , themselves Examples] ر INTERROGATIVE PRONOUN ss 5. Used to ask questions Definition who, whor , whose, which, what] Examples 6. RELATIVE PRONOUN *~***-**L Definition Joins two clauses ر who, which, that, whose] Examples INDEFINITE PRONOUN @@ @ @ @ @ @@@0@@000 0-0-0 things Refers to_non-specific_persons Definition 0٣ > someone, anyone, everyone, nobody Exomples must agree with the noun in number A pronoun and gender: PRONOUN - TYPES PRONOUN PERSONAL 1. 0ق Used to Definition reploce noun 0 they he, she, it, Examples T, We; you, Object Pronouns Subject Pronouns they him, her, it, them T, We, he, she, it, you, me , US, Jou, POSSESSIVE_PRONOUN 2. Shows_ownership Definition] mine, ours,_yours, his, hers, theirs] Examples న DEMONSTRATTVE PRONOUNAYAYAYAYAYAYAY AYAYAY 3 things | Pointsto_specific_persons Definition] 01 this, that, these, those Examples > REFLEXIVE PRONOUN ^ Refers back to the subject Definition] 8 myself , himself , herself , themselves Examples] ر INTERROGATIVE PRONOUN ss 5. Used to ask questions Definition who, whor , whose, which, what] Examples 6. RELATIVE PRONOUN *~***-**L Definition Joins two clauses ر who, which, that, whose] Examples INDEFINITE PRONOUN @@ @ @ @ @ @@@0@@000 0-0-0 things Refers to_non-specific_persons Definition 0٣ > someone, anyone, everyone, nobody Exomples must agree with the noun in number A pronoun and gender: - ShareChat](https://cdn4.sharechat.com/bd5223f_s1w/compressed_gm_40_img_658125_2fa71c54_1773368625271_sc.jpg?tenant=sc&referrer=user-profile-service%2FrequestType50&f=271_sc.jpg "grammer - PRONOUN - TYPES PRONOUN PERSONAL 1. 0ق Used to Definition reploce noun 0 they he, she, it, Examples T, We; you, Object Pronouns Subject Pronouns they him, her, it, them T, We, he, she, it, you, me , US, Jou, POSSESSIVE_PRONOUN 2. Shows_ownership Definition] mine, ours,_yours, his, hers, theirs] Examples న DEMONSTRATTVE PRONOUNAYAYAYAYAYAYAY AYAYAY 3 things | Pointsto_specific_persons Definition] 01 this, that, these, those Examples > REFLEXIVE PRONOUN ^ Refers back to the subject Definition] 8 myself , himself , herself , themselves Examples] ر INTERROGATIVE PRONOUN ss 5. Used to ask questions Definition who, whor , whose, which, what] Examples 6. RELATIVE PRONOUN *~***-**L Definition Joins two clauses ر who, which, that, whose] Examples INDEFINITE PRONOUN @@ @ @ @ @ @@@0@@000 0-0-0 things Refers to_non-specific_persons Definition 0٣ > someone, anyone, everyone, nobody Exomples must agree with the noun in number A pronoun and gender: PRONOUN - TYPES PRONOUN PERSONAL 1. 0ق Used to Definition reploce noun 0 they he, she, it, Examples T, We; you, Object Pronouns Subject Pronouns they him, her, it, them T, We, he, she, it, you, me , US, Jou, POSSESSIVE_PRONOUN 2. Shows_ownership Definition] mine, ours,_yours, his, hers, theirs] Examples న DEMONSTRATTVE PRONOUNAYAYAYAYAYAYAY AYAYAY 3 things | Pointsto_specific_persons Definition] 01 this, that, these, those Examples > REFLEXIVE PRONOUN ^ Refers back to the subject Definition] 8 myself , himself , herself , themselves Examples] ر INTERROGATIVE PRONOUN ss 5. Used to ask questions Definition who, whor , whose, which, what] Examples 6. RELATIVE PRONOUN *~***-**L Definition Joins two clauses ر who, which, that, whose] Examples INDEFINITE PRONOUN @@ @ @ @ @ @@@0@@000 0-0-0 things Refers to_non-specific_persons Definition 0٣ > someone, anyone, everyone, nobody Exomples must agree with the noun in number A pronoun and gender: - ShareChat")