Prove that if the co-ordinates of A and B be (3,2) and (-6,-4) respectively, then the line AB passes through the origin.

Point P is mid-point of the line segment AB. The co-ordinates of P and B are (3,1) and (5,-4) respectively. Find the co-ordinates of A

If the co-ordinates of A and B be (1,2,3) and (7,8,7) .then the projections of the line segment AB on the co-ordinate axes are

M is point on AB extended such that 3.AM = 7. BM. The co-ordinates of A and M are (3,0) and ( - 4,7) respectively . What are the co-ordinates of B ?

D is the midpoint of line segment AB. The co-ordinates of A and D are (2, 4) and (-1, 3), respectively. The co-ordinates of B are:

The vertices B and C of a triangle ABC lie on the lines 3y=4x and y=0 respectively and the side BC passes through the point ((2)/(3),(2)/(3)) If ABOC is a rhombus,o being the origin.If co-ordinates of vertex A is (alpha,beta), then find the value of (5)/(2)(alpha+beta)

If O be the origin and the co-ordinates of P be (1,2,-3), then find the equation of the plane passing through P and perpendicular to OP.

If the co-ordinates of the points A, B, C, D be (1,2,3),(4,5,7) (-4,3,-6) and (2,9,2) respectively, then find the angle between the lines AB and CD

A, B and C have co-ordinates (0, 3), (4, 4) and (8, 0) of triangle ABC respectively. Find the equation of the line through A and perpendicular to BC.