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Question

Which of the following can be the parametric equation of x2 = 4ay


A

(at2, 2at)

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B

(2at, at2)

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C

(-2at, at2)

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D

(at2, -2at)

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Solution

The correct options are
B

(2at, at2)


C

(-2at, at2)


There can be more than one parametric representation of a given parabola. One condition is that it should be able to represent all points and should satisfy the curves equation.

So by substituting the given options, we get B and C as correct. That is (2at, at2) and (2at, at2) are parametric representations of x2 = 4ay


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