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Question

The coordinates (x0,y0) of the point on the line y = x + 2 which is close to the parabola y2= 4x is :


A

(0,2)

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B

(12,52)

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C

(52,92)

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D

(1,3)

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Solution

The correct option is A

(0,2)


S = y2 - 4x
S (0, 2) = 4, S (1/2, 5/2) = 25/4 - 2 = 17/4, S (5/2, 9/2) = 81/4 - 20/2 = 41/4 and S (1, 3) = 9 - 4 = 5

It is clear that (0, 2) is closest to parabola y2 = 4x


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