MHT CET202016 Oct 2020Evening ShiftMathematicsApplication of DerivativesActual

The equation of normal to the curve y = ( x 4 ) at the point (2,5) is

Options

Ax+y=5
By=5
Cx=2
Dx+y=2

Correct answer

C. x=2

Step-by-step solution

(D) we have, y= x 4 array l d y d x = 4 x 4 ( d y d x )_ (2,5) = 4 2 4 =0 array Since slope of tangent is zero, it is parallel to X axis. So normal is parallel to Y axis. Hence required equation of normal is x =2

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