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Question -

The point on the curve x2 =2y which is nearest to the point (0, 5) is

(A)  (B) 

(C) (0, 0) (D) (2, 2)



Answer -

The given curve is x2 =2y.

For each value of x, the position of thepoint will be

Let us denote PAby Z. Then,

Z = y2 – 8y +25

Differentiating both sides with respectto y, we get

For maxima or minima, wehave

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