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11th Standard Maths Two Dimensional Analytical Geometry
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Q:

Which of the following equation is the locus of (at2, 2at)

Accepted Solution

A:

y2 = 4ax

\(\left(a t^{2}, 2 a t\right) \Rightarrow x=a t^{2}, \quad y=2 a t\)
\(y^{2} =4 a^{2} t^{2} \)
\(=4 a^{2}\left(\frac{x}{a}\right) \)
\(y^{2} =4 a x \)

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Which of the following equation is the locus of (at2, 2at)

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