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Vipin Kumar - Author on ShareChat: Funny, Romantic, Videos, Shayari, Quotes
Vipin Kumar
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#🧮 सरल गणित / Reasoning #📚एजुकेशनल ज्ञान📝 #📘परीक्षा अपडेट और तैयारी💯 #📚एजुकेशन टिप्स & ट्रिक्स✍ #PGT/tgt class
🧮 सरल गणित / Reasoning - Analytic Geometry Formulas 1. Lines in two dimensions Line segment Line forms Slope - inlercept Iorm can be represented in parametric Aline segment PP lorm Dy = mt+b 1=! + (1-1 ) Two point lorm: Y = + (; - ;)r ) = J (11 051 $1 Point slope lorm: PP line intersect if any only segments PP; and Twol m(r-x )~)= ne numbers Intercepr form 1' = J 'k = 1311 +"=1 (a,b#0) ) 1 curac Normal farm: 1C೧೦ F Y Sin ೧ = 0 satisly U 5 s51 und 05is1 Parametric lorm: r/ 005 0 1 = ) +rsin 0 Point drection lorm: ' Triangles in two dimensions 2 Area The area of the triangle formred by the tnree lines: where (A,8) is ine direction ot the line and P(tV) lies 41+ B1+C=0 on Ine Iine' A+B+C=0 General forma 4'+/, +0 = 0 B"+C=0 A#0 or B #0 '11+ S given by C B Distance C B_ The disiance from Ar+ By+C= 0 to P(- y) is C 48 1 11+ +C ப|A_ B A Ba గ d= VA+B ,| |4, B,||4` B The area oi a triangle whose P( %) vertices are Concurrent lines P(1"Y) and P (1"V Ines' Three A! + Bv + C = 0 K = Ax + By + C = 0 A + B" + C =0 ,1"11 are concurrent il and only if; 1 2 17.1 C 4 B C=0 _ 4 C B Analytic Geometry Formulas 1. Lines in two dimensions Line segment Line forms Slope - inlercept Iorm can be represented in parametric Aline segment PP lorm Dy = mt+b 1=! + (1-1 ) Two point lorm: Y = + (; - ;)r ) = J (11 051 $1 Point slope lorm: PP line intersect if any only segments PP; and Twol m(r-x )~)= ne numbers Intercepr form 1' = J 'k = 1311 +"=1 (a,b#0) ) 1 curac Normal farm: 1C೧೦ F Y Sin ೧ = 0 satisly U 5 s51 und 05is1 Parametric lorm: r/ 005 0 1 = ) +rsin 0 Point drection lorm: ' Triangles in two dimensions 2 Area The area of the triangle formred by the tnree lines: where (A,8) is ine direction ot the line and P(tV) lies 41+ B1+C=0 on Ine Iine' A+B+C=0 General forma 4'+/, +0 = 0 B"+C=0 A#0 or B #0 '11+ S given by C B Distance C B_ The disiance from Ar+ By+C= 0 to P(- y) is C 48 1 11+ +C ப|A_ B A Ba గ d= VA+B ,| |4, B,||4` B The area oi a triangle whose P( %) vertices are Concurrent lines P(1"Y) and P (1"V Ines' Three A! + Bv + C = 0 K = Ax + By + C = 0 A + B" + C =0 ,1"11 are concurrent il and only if; 1 2 17.1 C 4 B C=0 _ 4 C B - ShareChat