Let O be the origin and A be a point on the curve y2=4x Then the locus of the midpoint of OA is
A
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B
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C
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D
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Solution
The correct option is D Let (x1,y1) be the midpoint of OA. Equation of ←→OA is yy1−2(x+x1)=y21−4x1 The line passes through origin ⇒y21−2x1=0 ∴ The locus of P is y2=2x