Question

Find the equation of locus of a point p the square of whose distance from the origin is 4 times it's y- coordinate

Answer 1

Answer:

Given

\sqrt{ x^{2} + y^{2} } i

is the distance from origin to the point (x,y)

given that

( \sqrt{ x^{2} + y^{2} }) ^{2} =4y

x^{2} + y^{2} =4y

is the required equation of locus