Ex 6.1,11 - Chapter 6 Class 12 Application of Derivatives

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Ex 6.1,11 A particle moves along the curve 6 = 3 +2. Find the points on the curve at which the y-coordinate is changing 8 times as fast as the coordinate. Given that A particular Moves along the curve 6 = 3 + 2 We need to find points on the curve at which coordinate is changing 8 times as fast as the coordinate i.e. we need to find , for which =8 6 = 3 +2 Diff Both Side w.r.t 6 = 3 +2 6 = 3 + 2 6 = 3 +0 6 = 3 6 =3 2 . = 3 2 6 = 2 2 We need to find point for which =8 Putting = 2 2 . 2 2 . =8 2 2 =8 2 =8 2 2 =16 = 16 = 4 =4 , 4 Putting values of in (1) 6 = 3 +2 When =4 6 = 4 3 +2 6 =64+2 6 =66 = 66 6 =11 Points is 4 , 11 When = 4 6 = 4 3 +2 6 = 64+2 6 = 62 = 62 6 = 31 3 Points is 4, 31 3 Hence Required points on the curve are , & ,