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Question

Which of the following points lie on the parabola x2=4ay?


A

x=at2 ,y=2at

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B

x=2at ,y=at2

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C

x=2at2,y=at

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D

x=2at,y=at2

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Solution

The correct option is D

x=2at,y=at2


Substituting x=2at,y=at2 in the given equation

(2at)2=4a(at2)

4a2t2=4a2t2

Hence,(2at,at2) lies on the parabola x2=4ay


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