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The co-ordinates of a particle moving in xy-plane vary with time t as: x=at 2 , y=bt. The locus of the particle is --- a) Parabola b) Circle c) Straight line d) Ellipse

The co-ordinates of a particle moving in xy-plane vary with time t as: x=at2, y=bt. The locus of the particle is ---


a) Parabola


b) Circle


c) Straight line


d) Ellipse

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear Abhingya

x=at2, y=bt

for locus of particle you need to replace t from the above equation

so

x=a (y/b)2

y2=b2x/a

 

clearly it is a equation of parabola

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