What type of conic is the locus of the moving point `(at^(2),2at)` ? Find the equation of the locus .

A point moves in such a manner that the sum of the squares of its distances from the origin and the point (2, -3) is always 19. Show that the locus of the moving point is a circle. Find the equation to the locus.

What is locus and equation of the locus of point?

For all values of theta , the coordinates of a moving point P are (acostheta,bsintheta) , find the equation to the locus of P.

The coordinates of a moving point P are (at^(2),2at), whereis a variable parameter.Find the equation to the locus of P.

Find the locus of point (at^(2),2at) where t is a parameter.

If the distance foa moving point from the point (2,0) is equal to the distance of the moving point from y-axis, then the equation of the locus of the moving point is

Find the locus of a variable point (at^2, 2at) where t is the parameter.

Find the locus of a variable point (at^2, 2at) where t is the parameter.

If the points P(6,2) and Q(-2,1) and R are the vertices of a DeltaPQR and R is the point on the locus of y=x^(2)-3x+4 , then find the equation of the locus of centroid of DeltaPQR .