P, Q and R are three collinear points. P and Q are (3, 4) and (7, 7) respectively, and PR =10 units. Find the coordinates of R.

The line segment joining the points (3,\ -4) and (1,\ 2) is trisected at the points P and Q . If the coordinates of P and Q are (p ,\ -2) and (5//3,\ q) respectively. Find the values of p and q .

If P ,Q and R are three collinear points such that vec P Q= vec a and vec Q R = vec bdot Find the vector vec P R .

If P, Q and R are three points with coordinates (1, 4), (4, 5) and (m, m) respectively, then the value of m for which PR + RQ is minimum, is :

Points P ,\ Q ,\ R and S divide the line segment joining the points A(1,\ 2) and B(6,7) in 5 equal parts. Find the coordinates of the points P ,\ Q and R .

If points Q and R reflections of point P(-3,\ 4) in X and Y axes respectively, what is Q R ?

Let P and Q be the points of trisection of the line segment joining the points A(2, -2) and B(-7, 4) such that P is nearer to A. Find the coordinates of P and Q.

The coordinates of points P, Q, R and S are (-3, 5), (4, -2), (p, 3p) and (6, 3) respectively, and the ares of DeltaPQR and DeltaQRS are in ratio 2:3. Find p .

A point R with x-coordinate 4 lies on the line segment joining the points P (2, -3, 4) and Q (8, 0, 10) . Find the coordinates of the point R.

If the points P(-3,\ 9),\ \ Q(a ,\ b) and R(4,\ -5) are collinear and a+b=1 , find the values of a and b .

Find the coordinates of points P ,\ Q ,\ R\ a n d\ S in Figure.