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"Scientific Approach" - Author on ShareChat: Funny, Romantic, Videos, Shayari, Quotes
"Scientific Approach"
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Physics #physics
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"Scientific Approach" - Author on ShareChat: Funny, Romantic, Videos, Shayari, Quotes
"Scientific Approach"
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Maths #maths
maths - Complete Formulas Functions] 1, FUNCTION २. DOMAIN CODOMAIN & RANGE DEFINITION Domain > Sef of all possible inpufs A funcfion f from sef A to set Bl Set of all possible outputs rule that assigns each element is Codomain > exacfly one elemenf of 8. Sef of acfual oufpufs of A Range _ Range = Codomain Writren as: f:A-8 If x ٤ A Then f(x) & B TYPES OF FUNCTIONS 4 (a) One-One Function (Injective): f(x1) = f(x2) => X1 = X2 ३. REPRESENTATION OF FUNCTIONS Set of ordered pairs b) Many-One Funcfion: Two or more Arrow diagram] elements of domain have the same Graph image. Algebraic expression] (c) Onto Function (Surjective): 5. ALGEBRAIC FUNCTIONS Range Codomain] d) Info Funcfion : Range C Codomain (a) Constant Function: f(x) = c (e) Bijective Function: One-one and onto (b) Constant Function: f(x) = c function (b) Identity Function: f(x) = X (c) Polynomial Function: 6. MODULUS FUNCTION f(x) + ٠٠٠ + 00 anxn ৭n-1X"-1 f(x) = Ixll "(X) (d) Rationdl Function: F(x) = Ixl = X X>0 q(x)+0 Ixl =-xl X < 0 7. GREATEST INTEGER FUNCTION 8 COMPOSITION OF FUNCTIONS f(x) = [x] If f : A -> B ond g : B -> C greatest integer < x [x] (g ৭ f)(x) g(f(x)) Example: [2.7] = 2, [-1.3] =-2 10. GRAPH OF FUNCTIONS 9. INVERSE FUNCTION A function f has an inverse if and Straight line] Linear funcfion ) f is bijecfive only if Quadraric function Parabola If f(x) then f-1(y) = * Horizonfql line' ٧ Constant function Property: f(f-1(x)) = X , f-1(f(x)) = X Complete Formulas Functions] 1, FUNCTION २. DOMAIN CODOMAIN & RANGE DEFINITION Domain > Sef of all possible inpufs A funcfion f from sef A to set Bl Set of all possible outputs rule that assigns each element is Codomain > exacfly one elemenf of 8. Sef of acfual oufpufs of A Range _ Range = Codomain Writren as: f:A-8 If x ٤ A Then f(x) & B TYPES OF FUNCTIONS 4 (a) One-One Function (Injective): f(x1) = f(x2) => X1 = X2 ३. REPRESENTATION OF FUNCTIONS Set of ordered pairs b) Many-One Funcfion: Two or more Arrow diagram] elements of domain have the same Graph image. Algebraic expression] (c) Onto Function (Surjective): 5. ALGEBRAIC FUNCTIONS Range Codomain] d) Info Funcfion : Range C Codomain (a) Constant Function: f(x) = c (e) Bijective Function: One-one and onto (b) Constant Function: f(x) = c function (b) Identity Function: f(x) = X (c) Polynomial Function: 6. MODULUS FUNCTION f(x) + ٠٠٠ + 00 anxn ৭n-1X"-1 f(x) = Ixll "(X) (d) Rationdl Function: F(x) = Ixl = X X>0 q(x)+0 Ixl =-xl X < 0 7. GREATEST INTEGER FUNCTION 8 COMPOSITION OF FUNCTIONS f(x) = [x] If f : A -> B ond g : B -> C greatest integer < x [x] (g ৭ f)(x) g(f(x)) Example: [2.7] = 2, [-1.3] =-2 10. GRAPH OF FUNCTIONS 9. INVERSE FUNCTION A function f has an inverse if and Straight line] Linear funcfion ) f is bijecfive only if Quadraric function Parabola If f(x) then f-1(y) = * Horizonfql line' ٧ Constant function Property: f(f-1(x)) = X , f-1(f(x)) = X - ShareChat
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"Scientific Approach"
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Maths #maths
maths - SPECIAL TRIANGLES & APPLICATIONS GEOMETRY Equilateral Triangle All sides equal All angles 609 All centres |, 0, G,H coincide at same point AD is median altitude angle bisector perpendicular bisector a 13 a2 Height: h= Area: Area = 609 2 609 3 Circumradius: R = ೩ 3h ೩ Inradius: [ 13 213 Area (circumcircle) Area (incircle) = 4 : 1 R:r=2:1 Equilateral Triangle Relations Side Height Area height = V3k - area = V3 k2 If side 2K - [3a a2 Isosceles Right Triangle Isosceles Triangle Angles: 459, 459, 909 Two sides equal (AB AC) If hypotenuse = H All four centres lie on AD H Legs 1a? _ L Height: AD H 459 459 Area = 4V4a2 - b2 Area C Perimeter = H(V2 + 1) Right Angle Triangle r= P+8-H Relations: r+R=P+8 One angle 909 4 Inscribed in a semicircle R= 80 = shortest median = BG = H GO = H 3' Area: Area =r x $ = S(S - 2R) = r- + ZrR Odd number method >(3,4,5), (5,12,13) Pythagorean Triplets Even number method _ (6,8,10) (8,15,17) Square Inscribed in a Triangle Area Results If base segments = X and y Ifx2+y2 =22 Xy Side of square Area of shaded part = a = X +y 72 Area of AABC ab In right triangle: Side a +b abc Side (largest square): y = where x >y 32 + b2 + ab Scalene Triangle Areaः Area =vs(s All sides unequal a)(s -b)(s -c) Perimeter: P = ೩+ b + C Area = r x $ btc Semi perimeter: $ = 2+ abc Area 4R SPECIAL TRIANGLES & APPLICATIONS GEOMETRY Equilateral Triangle All sides equal All angles 609 All centres |, 0, G,H coincide at same point AD is median altitude angle bisector perpendicular bisector a 13 a2 Height: h= Area: Area = 609 2 609 3 Circumradius: R = ೩ 3h ೩ Inradius: [ 13 213 Area (circumcircle) Area (incircle) = 4 : 1 R:r=2:1 Equilateral Triangle Relations Side Height Area height = V3k - area = V3 k2 If side 2K - [3a a2 Isosceles Right Triangle Isosceles Triangle Angles: 459, 459, 909 Two sides equal (AB AC) If hypotenuse = H All four centres lie on AD H Legs 1a? _ L Height: AD H 459 459 Area = 4V4a2 - b2 Area C Perimeter = H(V2 + 1) Right Angle Triangle r= P+8-H Relations: r+R=P+8 One angle 909 4 Inscribed in a semicircle R= 80 = shortest median = BG = H GO = H 3' Area: Area =r x $ = S(S - 2R) = r- + ZrR Odd number method >(3,4,5), (5,12,13) Pythagorean Triplets Even number method _ (6,8,10) (8,15,17) Square Inscribed in a Triangle Area Results If base segments = X and y Ifx2+y2 =22 Xy Side of square Area of shaded part = a = X +y 72 Area of AABC ab In right triangle: Side a +b abc Side (largest square): y = where x >y 32 + b2 + ab Scalene Triangle Areaः Area =vs(s All sides unequal a)(s -b)(s -c) Perimeter: P = ೩+ b + C Area = r x $ btc Semi perimeter: $ = 2+ abc Area 4R - ShareChat
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"Scientific Approach"
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Games #games #game
game - खेलों के मैदानों की माप ফরল (Sport) IQ HiKE IQ HiKE मैदानों की माप (Dimensions of Fields) डर्बी घुड़दौड़ खोनखो १% मील रास्ता या २.४ किमी 29 m * 16 m बेसबॉल रग्बी फुटबॉल प्रत्येक बेस ९० फीट, गर्ज ११० गज * ७५ कर्ण की दूरी १२७ फीट कबड्डी बास्केटबॉल 12.5 m * 10 m 28 m x 15 m IQ HiKE IQHiKE टेबल टेनिस dicfaia 9 কীয x 5 কীয 18 m * 9 m ऊँचाई २% फीट बिलियर्ड्स टेबल वाटर पोलो ११ फीट x 5 फीट, ३० गज * २० गज ऊँचाई 3 फीट बॉक्सिंग रिंग எி IQ HiKE १६ फीट और २५ फीट १०० गज * ६० या ६५ गज IQ HiKE पोलो फुटबॉल 300 যস x 160 যত ११० गज * ८० गज बैडमिंटन (एकल) लॉन टेनिस (एकल) ४४ फीट x १७ फीट ७८ फीट * २७ फीट बैडमिंटन (युगल) लॉन टेनिस (युगल) ४४ फीट * २० फीट 78 $<* 36 $< IQ HiKE IQ HiKE डर्बी घुड़दौड़ मैराथन दौड़ दूरी २६ मील ३८५ गज १%२ मील रास्ता या যা 42.195 কিমী 2.4 কিমী UPPSC PSC SSC NTPC RRB IBPS BPSC ONE DAY EXAM खेलों के मैदानों की माप ফরল (Sport) IQ HiKE IQ HiKE मैदानों की माप (Dimensions of Fields) डर्बी घुड़दौड़ खोनखो १% मील रास्ता या २.४ किमी 29 m * 16 m बेसबॉल रग्बी फुटबॉल प्रत्येक बेस ९० फीट, गर्ज ११० गज * ७५ कर्ण की दूरी १२७ फीट कबड्डी बास्केटबॉल 12.5 m * 10 m 28 m x 15 m IQ HiKE IQHiKE टेबल टेनिस dicfaia 9 কীয x 5 কীয 18 m * 9 m ऊँचाई २% फीट बिलियर्ड्स टेबल वाटर पोलो ११ फीट x 5 फीट, ३० गज * २० गज ऊँचाई 3 फीट बॉक्सिंग रिंग எி IQ HiKE १६ फीट और २५ फीट १०० गज * ६० या ६५ गज IQ HiKE पोलो फुटबॉल 300 যস x 160 যত ११० गज * ८० गज बैडमिंटन (एकल) लॉन टेनिस (एकल) ४४ फीट x १७ फीट ७८ फीट * २७ फीट बैडमिंटन (युगल) लॉन टेनिस (युगल) ४४ फीट * २० फीट 78 $<* 36 $< IQ HiKE IQ HiKE डर्बी घुड़दौड़ मैराथन दौड़ दूरी २६ मील ३८५ गज १%२ मील रास्ता या যা 42.195 কিমী 2.4 কিমী UPPSC PSC SSC NTPC RRB IBPS BPSC ONE DAY EXAM - ShareChat
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"Scientific Approach"
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Biology #biology #NEET PREPETION
biology - PHYUM PRIEERD They ஈீD $ cewh catel Qute goneollப IoAnQ ೧ 8pongiLla )_ ( للط لللمم اعرم mukceiuLor organuims org syslom_৮ prexnk wbld ConcQ Ilcten tronspont 01 hop cion /and excretion o @huton r೮೦ i೧ Digestioo fs lotroce tlulo ع spongio,Gibres_or-Spiculea & Skelekool mmode ob not sepecate ) Cexe Hemaphrodiel QL FeriuboD &sA(oterocQ develanh preLent) ( LccUcL_Stcge is Ind(roue Syoon , Spongillc bcH Spoge ೭೦ PHVUN CDELENTEBBTA CCNIDBRIB moskut swlDomio Iheg ore {oe sessyel moul ue ) 0 Mulieuloک okaorisms levell w &AuQ 09` Aada[U The ore diploblooticzand Slmmak?t onidoudtoz Cnioob@b pue೨enh ٥ oD kotack Cod9 and |e Cnfoblasbs /e_uoed_kur_ccboraq-e_sdebente] 0 Q0d Ihe ophura n pr 8 Dioetioo intrateuulcc & extq ckiulaC , and howe LaLm CrboDote CeaAl SRelet Cniclariq xbubit மooy bmப ೧ bolyp abd meduAQ _ Polyps & %LQ ZrdcQ bom_LRe ODd hudro ) adamstql PHYUM PRIEERD They ஈீD $ cewh catel Qute goneollப IoAnQ ೧ 8pongiLla )_ ( للط لللمم اعرم mukceiuLor organuims org syslom_৮ prexnk wbld ConcQ Ilcten tronspont 01 hop cion /and excretion o @huton r೮೦ i೧ Digestioo fs lotroce tlulo ع spongio,Gibres_or-Spiculea & Skelekool mmode ob not sepecate ) Cexe Hemaphrodiel QL FeriuboD &sA(oterocQ develanh preLent) ( LccUcL_Stcge is Ind(roue Syoon , Spongillc bcH Spoge ೭೦ PHVUN CDELENTEBBTA CCNIDBRIB moskut swlDomio Iheg ore {oe sessyel moul ue ) 0 Mulieuloک okaorisms levell w &AuQ 09` Aada[U The ore diploblooticzand Slmmak?t onidoudtoz Cnioob@b pue೨enh ٥ oD kotack Cod9 and |e Cnfoblasbs /e_uoed_kur_ccboraq-e_sdebente] 0 Q0d Ihe ophura n pr 8 Dioetioo intrateuulcc & extq ckiulaC , and howe LaLm CrboDote CeaAl SRelet Cniclariq xbubit மooy bmப ೧ bolyp abd meduAQ _ Polyps & %LQ ZrdcQ bom_LRe ODd hudro ) adamstql - ShareChat
"Scientific Approach" - Author on ShareChat: Funny, Romantic, Videos, Shayari, Quotes
"Scientific Approach"
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Maths #maths
maths - ShareChat
"Scientific Approach" - Author on ShareChat: Funny, Romantic, Videos, Shayari, Quotes
"Scientific Approach"
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English #english
english - PRESENT CONTINUOUS 99 TENSES 66 మ DEEINITION ) మ ~ Pesent Contimuous Tense is used to expxess an action happening at the time % speaking STRUCTURE @ 0 Apimative_Sentence Ving Subject is Qe 1 am xeading 0_book Example She_is Negative Sentence V-irg not / is not / ate not Subject 7 am heading a_book Example She is not Inteutogotive Sentence Ving Subject Axe 0 4Am / [s + + Rendind: book? Is_shel Example 0 USES happeninn Action nou Peanmea meod futute actiom Planned going_to Delhi tomoxotou: Example Lam 5 TIME EXPRESSIONS cuently moய் , @t pesent , at the moment , NOW with_he shelit ate'with Use is you /we /thed PRESENT CONTINUOUS 99 TENSES 66 మ DEEINITION ) మ ~ Pesent Contimuous Tense is used to expxess an action happening at the time % speaking STRUCTURE @ 0 Apimative_Sentence Ving Subject is Qe 1 am xeading 0_book Example She_is Negative Sentence V-irg not / is not / ate not Subject 7 am heading a_book Example She is not Inteutogotive Sentence Ving Subject Axe 0 4Am / [s + + Rendind: book? Is_shel Example 0 USES happeninn Action nou Peanmea meod futute actiom Planned going_to Delhi tomoxotou: Example Lam 5 TIME EXPRESSIONS cuently moய் , @t pesent , at the moment , NOW with_he shelit ate'with Use is you /we /thed - ShareChat
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बायोलॉजी #biology #neet
neet - Dole Pege @০ Kngdom lum Dhu KINCDOL 0,0 Bodv OCdlum SYMMETRY Poxifera Asymmetrital Clluldn onimaliq Level Coeleotrata ( Cofdora) Rodiol Lissue Clenophoro Plaky Acoelomatex omgan bod५ @1iy belmiol Bilataal (uulkb out e8 Ocgan syslem ಉudocoಬomoror AscheQ Cwtth fakse miotbex CooLom) Coekmatex Lush] coolom) ৮ue Annelida Axtppod c Nolu ( Echnodenmat Hemthokdi Cordcq Dole Pege @০ Kngdom lum Dhu KINCDOL 0,0 Bodv OCdlum SYMMETRY Poxifera Asymmetrital Clluldn onimaliq Level Coeleotrata ( Cofdora) Rodiol Lissue Clenophoro Plaky Acoelomatex omgan bod५ @1iy belmiol Bilataal (uulkb out e8 Ocgan syslem ಉudocoಬomoror AscheQ Cwtth fakse miotbex CooLom) Coekmatex Lush] coolom) ৮ue Annelida Axtppod c Nolu ( Echnodenmat Hemthokdi Cordcq - ShareChat
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"Scientific Approach"
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Maths #maths #study
study - 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
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"Scientific Approach"
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Maths #maths #math tricks
math tricks - ShareChat