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
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