Practice the questions given in the worksheet on collinearity of three points using the equation of a line.
1. Find the equation of the straight line passing through the points (3, - 4) and (1, 2) and hence show that the three points (3 ,-4), (1, 2 ) and (2, - 1) are collinear.
2. Show that the points (1, - 1), (5, 5) and (- 3, - 7) are collinear.
Also find the equation of the line on which they lie.
3. Prove that the points (2, -3), (1, 2) and (0, 7) are collinear.
Also, find the equation of the line on which the points lie.
4. Prove that the points (3, 1), (5, -5) and (- 1, 13) are collinear.
Find the equation of the straight line on which the points lie.
5. If the point (h, -2) is collinear with the points (2, 2) and (-3, 1) then find the value of h.
Also, find the slope of the line containing the three points.
6. Show that the points (-1, 3), (0, 2) and (1, 1) are collinear.
Also find the equation of the line on which they lie.
Answers for the worksheet on collinearity of three points are given below:
Answers:
1. 3x + y = 5
2. 3x - 2y = 5
3. 5x + y - 7 =0
4. 3x + y = 10.
5. h = - 18 and slope = \(\frac{1}{5}\)
6. x + y - 2 = 0
● Equation of a Straight Line
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