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

Show that the points (2,3,4) , (-1,-2,1), (5,8,7) are collinear.

If (5,7),(3,p) and (6,6) are collinear, then the value of p is ………

If (5, 7), (3, p) and (6, 6) are collinear, then the value of p is

If P is a point (x ,y) on the line y=-3x such that P and the point (3, 4) are on the opposite sides of the line 3x-4y=8, then

Find the locus of a point p moves such that its distance from two fixed point A(1,0) and B (5,0) , are always equal .

A point moves so that its distance from the point (2,0) is always (1)/(3) of its distances from the line y=x-18 . If the locus of the points is a conic, then length of its latus rectum is

Show that the points (1, 2, -1), (2, 5, 1) and (0, -1, -3) are collinear.

Find the value of k and b, if the points P(-3, 1) and Q(2, b) lie on the locus of x^(2)-5x+ky=0 .