MHT CET20242 May 2024Evening ShiftMathematicsApplication of DerivativesActual

The equation of normal to the curve x= + , y=1+ at = 2 is

Options

A2 x+2 y- =0
B2 x-y- =0
C2 x-2 y- =0
D2 x+y- =0

Correct answer

C. 2 x-2 y- =0

Step-by-step solution

array ll & x= + and y=1+ & d x ~d =1+ and d y ~d =- & d y ~d x = d y ~d ~d x ~d = - 1+ & At = 2 & x= 2 + 2 = 2 +1 and & y=1+ 2 =1 array ( d y d x )_ ( = 2 ) = - 2 1+ 2 =-1 Slope of normal =1 Equation of the normal at ( 2 +1,1 ) is aligned & y-1=1 (x- 2 -1 ) & 2 y-2=2 x- -2 & 2 x-2 y- =0 aligned

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