Two fixed points `A` and `B` have co-ordinates `(x_1,y_1)` and `(x_2,y_2)`. A point `P` moves such that `AP` is perpendicular to `BP`,then locus of `P` is

The co-ordinates of the mid points joining P(x_1,y_1) and Q(x_2,y_2) is….

A(-9, 0) and B(-1, 0) are two points. If P(x, y) is a point such that 3PB = PA , then the locus of P is

A=(-9,0) and B=(-1,0) are two points. If P(x, y) is a point such that 3 P B=P A , then the locus of P is

If the co-ordinates of a point P are x = at^(2) , y = a sqrt(1 - t^(4)) , where t is a parameter , then the locus of P is a/an

If point P divided line segment joining points A(x_1,y_1,z_1) and B(x_2,y_2,z_2) in ratio k : 1 then co - ordinates on P.

The co-ordinates of two points P and Q are (x_1,y_1) and (x_2,y_2) and O is the origin. If circles be described on OP and OQ as diameters then length of their common chord is

The co-ordinates of the point S are (4, 0) and a point P has coordinates (x, y). Express PS^(2) in terms of x and y. Given that M is the foot of the perpendicular from P to the y-axis and that the point P moves so that lengths PS and PM are equal, prove that the locus of P is 8x=y^(2)+16 . Find the co-ordinates of one of the two points on the curve whose distance from S is 20 units.

A point p moves such that p and the points (2,3)(1,5) are always collinear. Show that the locus of p is 2x+y-7=0