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

Question

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

Badiuddin askIITians.ismu Expert · Answer

Dear Abhingya x=at 2 ...............1 y=bt....................2 put vallue of t from equation 2 to equation 1 x=a(y/b) 2 y 2 =b 2 x/a so option a is correct Please feel free to post as many doubts on our discussion forum as you can. If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE & AIEEE preparation. All the best. Regards, Askiitians Experts Badiuddin

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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

1 Answers

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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

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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