PQRS is a rhombus. Its diagonals PR and QS intersect at the points M and satisfy QS =2PR. If the coordinates of S and M are (1,1) and (2,-1) respectively , find the coordinates of P.

PQRS is a rhombus . Its diagonals PR and QS intersect at the point M and satisfy QS=2PR. If the coordinates of S and M are (1,1) and (2,-1) respectively , find the coordinates of P .

The centroid of a triangle ABC is at the point (1,1,1) . If the coordinates of A and B are (3,-5,7) and (-1,7,-6) , respectively, find the coordinates of the point C.

If A and B are (-2, -2) and (2, -4) respectively, find the coordinates of P on AB such that AP = (3)/(7) AB.

If the x-coordinate of a point P on the join of Q(22,1)a n dR(5,1,-2)i s4, then find its z- coordinate.

A line segment AB is increased along its length by 25% by producing it to C on the side of B. If A and B have the coordinates (-2,-3) and (2,1) respectively ,then find the coordinates of C.

If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , then find coordinates of P

If the midpoints of the sides of a triangle are (2,1),(-1,-3),a n d(4,5), then find the coordinates of its vertices.

If O is the origin, O P=3 with direction ratios -1,2,a n d-2, then find the coordinates of Pdot