Coordinates of a particle moving in XY -plane vary with time as x=4 t ^2 ; y=2 t . locus of particle

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The coordinates of a particle moving in $XY$-plane vary with time as $x=4 t ^2 ; y=2 t$. The locus of the particle is a :-

A

Straight line

B

Circle

C

Parabola

D

Ellipse

Solution

(c)

$x=4 t^2$ and $y=2 t \Rightarrow x=y^2 \Rightarrow$ Parabolic path.

Standard 11

Physics

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