PROBLEMS INVOLVING MIDPOINT WITH UNKNOWN POINTS WORKSHEET

Problem 1 :

If the distance between the points (4, k) and (1, 0) is 5, then what can be the possible values of k?

Solution

Problem 2 :

Find the value of a, for which point P(a/3, 2) is the midpoint of the line segment joining the points Q(-5, 4) and R(-1, 0).

Solution

Problem 3 :

In figure, P(5, -3) and Q(3, y) are the points of trisection of the line segment joining A(7, -2) and B(1, -5). Then y equals

A) 2      B) 4     C) -4        D) -5/2

Solution

Problem 4 :

If P(2, p) is the mid-point of the line segment joining the points A(6, -5) and B(-2, 11), find the value of p.

Solution

Problem 5 :

Find the value of k if P(4, -2) is the mid point of the line segment joining the points A(5k, 3) and B(-k, -7).

Solution

Problem 6 :

If the mid-point of the line segment joining the points P(6, b-2) and Q(-2, 4) is (2, -3), find the value of b.

Solution