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MHT CET202122 Sep 2021Morning ShiftMathematicsApplication of DerivativesActual

The point on the curve y^2=2(x-3) at which the normal is parallel to the line y-2 x+1=0 is

Options

  1. A( -1 2 ,-2 )
  2. B( 3 2 , 2 )
  3. C(5,2)
  4. D(5,-2)

Correct answer

D. (5,-2)

Step-by-step solution

aligned & y^2=2(x-3) & 2 y d y d x =2 d y d x = 1 y & Slope of normal =-y and as per condition given & -y=2 y=-2 & (-2)^2=2(x-3) x=5 point is (5,-2) aligned

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