SOLVING FOR UNKNOWN WITH COLLINEAR POINTS WORKSHEET

Problem 1 :

Find the value of 𝑝 for which the points

(−1, 3), (2, 𝑝) and (5, −1)

are collinear.

Solution

Problem 2 :

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 3 :

Find the value of 𝑎 so that the point (3, 𝑎) lies on the line represented by 2𝑥 − 3𝑦 = 5

Solution

Problem 4 :

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

Problem 5 :

For what value of 𝑘 are the points (8, 1), (3, −2𝑘) and (𝑘, −5) collinear?

Solution

Problem 6 :

If the points 𝐴(4, 3) and 𝐵(𝑥, 5) are on the circle with the center 𝑂(2, 3), find the value of 𝑥.

Solution