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MHT CET20249 May 2024Evening ShiftMathematicsApplication of DerivativesActual

The equation of the tangent to the curve x= acos ^3 , y= asin ^3 at = 4 is

Options

  1. Ax+y= a 2
  2. Bx+y= a 2
  3. Cx+y= a 2 2
  4. Dx+y= a 8

Correct answer

A. x+y= a 2

Step-by-step solution

array ll & x= acos ^3 and y= asin ^3 & ~d x ~d =-3 acos ^2 and d y ~d =3 asin ^2 & ~d y ~d x = d y ~d ~d x ~d =- & ( d y ~d x )_ ( = 4 ) =-1 & At = 4 & x= a ^3 4 = a 2 2 y & =a ^3 4 = a 2 2 array Equation of the tangent at ( a 2 2 , a 2 2 ) is aligned & y- a 2 2 =-1 (x- a 2 2 ) & x+y= a 2 aligned

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