Rectangular Car...

The circumcentre of a triangle formed by the line xy + 2x + 2y + 4 = 0 and x + y + 2 = 0 is

The new co-ordinate of a point (4,5), when the origin is shifted to the point (1,-2) are

The locus of a point P which moves in such a way that the segment OP, where O is the origin , has slope √3 is

If the co-ordinates of a point be given by the equation x = a(1-cos θ) , y = a sin θ , then the locus of the point will be

A point moves in such a way that the sum of square of its distance from the points A(2,0) and B (-2,0) is always equal to the square of the distance between A and B .The locus of the point is

A point moves so that its distance from the point (-1,0) is always three times its distance from the point (0,2). The locus of the point is

The locus of a point which moves so that its distance form x-axis is double of its distance from y-axis is

The locus of a point which moves so that it is always equidistant from the point A(a,0) and B (–a,0) is

If the co-ordinates of a point be given by the equations x = b sec ϕ, y = a tan ϕ , then its locus is

The equation of the locus of all points equidistant from the point (4,2) and the x-axis , is