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Question

If P is a point on the parabola y=x2+4 which is closest to the straight line y=4x1, then the co-ordinates of P are

A
(2,8)
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B
(1,5)
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C
(3,13)
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D
(2,8)
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Solution

The correct option is D (2,8)
Tangent at P is parallel to the given line.
dydxP=4
2x1=4

x1=2
Required point is (2,8)

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