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If x and y co-ordinates of a particle varies with time as x = 2t; y = t ^ 2 + 2t + 2 then path followed by the particle is ?

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If x and y co-ordinates of a particle varies with time as x = 2t; y = t ^ 2 + 2t + 2 then path followed by the particle is (1) Circle (3) Ellipse (2) Hyperbola (4) Parabola
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The path followed by the particle is (4) Parabola

y = x2/4 + x + 2

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