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Which of the following are not parametric coordinates of any point on the parabola y2 = 4ax? -

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Question

Which of the following are not parametric coordinates of any point on the parabola y2 = 4ax?

Options

  • (at2, 2at)

  • `(am^2, (2a)/m)`

  • `(a/m^2, (2a)/m)`

  • (am2, –2am)

MCQ

Solution

`bb((am^2, (2a)/m)`

Explanation:

y2 = 4ax

The parametric co-ordinate of the parabola is given by (at2, 2at) where t is parameter also we know that t = –m, therefore (am2, –2am) is also parametric co-ordinates And `(a/m^2, (2a)/m)` also the parametric co-ordinates. But `(am^2, (2a)/m)` is not a parametric co-ordinate of the parabola.

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Conic Sections - Parabola
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