Rectangular Car...

A point moves in such a way that its distance from (1, –2) is always the twice from (–3,5), then locus of the point is

Let P be the point (1,0) and Q a point on the curve y² = 8x. The locus of mid point of PQ is

if A(-a,0) and B(a,0) are two fixed points, then the locus of the point on which the line AB subtends the right angle, is

The locus of P such that area of ∆PAB = 12 sq. units , where A (2,3) and B (–4,5) is

If sum of distances of a point from the origin and lines x = 2 is 4 , then its locus is

Locus of centroid of the triangle whose vertices are (a cos t, a sin t), (b sin t, -b cos t) and (1,0), where t is a parameter; is

If the distance of any point P from the point A (a + b, a – b) and B(a – b, a + b) are equal , then the locus of P is

What is the equation of the locus of a point which moves such that 4 times its distance from the x-axis is the square of its distance from the origin

Point of intersection of the diagonals of square is at origin and co-ordinate axis are drawn along the diagonals. If the side is of length a, then one which is not the vertex of square is