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 :

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.

Given points P(2,3), Q(4, -2), and R(alpha,0) . Find the value of a if PR + RQ is minimum.

Given points P(2,3), Q(4, -2), and R(alpha,0) . Find the value of alpha if PR + RQ is minimum.

P, Q, R are three collinear points. The coordinates of P and R are (3, 4) and (11, 10) respectively, and PQ is equal to 2.5 units. Coordinates of Q are

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 .

Three bodies of masses m, 2m and 3m are placed at the corners of a triangle having coordinates (1, 1.5), (2.5, 1.5) and (3, 3) respectively. Calculate the coordinates of the centre of mass.

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.

Given points P(2,3),Q(4,-2), and R(alpha,0). Find the value of a if PR+RQ is minimum.

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.