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

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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