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MHT CET20243 May 2024Morning ShiftMathematicsApplication of DerivativesActual

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

Options

  1. A2 x+2 y+ =0
  2. B2 x-2 y- =0
  3. Cx+y+ =0
  4. Dx+y-2 =0

Correct answer

B. 2 x-2 y- =0

Step-by-step solution

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

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