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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. What is the equation of the locus? a) y 2 =b 2 x/a b) y=bx 2 /a c) y 2 =ab/x d) y 2 = -abx

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. What is the equation of the locus?


a) y2=b2x/a


b) y=bx2/a


c) y2=ab/x


d) y2= -abx


 

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
14 years ago

Dear Abhingya

x=at2 ...............1

 y=bt....................2

 

put vallue of t from equation 2 to equation 1

x=a(y/b)2

y2=b2x/a

 

so option a is correct

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