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Question: The point (0, 5) is closest to the curve x<sup>2</sup> = 2y at –...

The point (0, 5) is closest to the curve x2 = 2y at –

A

(22,0)( 2 \sqrt { 2 } , 0 )

B

(0, 0)

C

(2, 2)

D

) None

Explanation

Solution

)

Sol. = x Ž m1 = x1 Ž m2 =

\ m1m2 = – 1 Ž (x1) = – 1 ; y1 = 4

from parabola x12 = 2 × 4 Ž x1 = 222 \sqrt { 2 }