The points (5, -2), (8, -3) and (a, -12) are collinear if the value of a is: - Mathematics MCQ Mathematics Mock Test - 3 2026 | ExamTest.live

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The points (5, - 2), (8, - 3) and (a, - 12) are collinear if the value of a is:

Solution & Step-by-step Explanation

Points A, B, C are collinear if Slope of A B = Slope of BC .Slope m = \frac{y _{2} - y _{1}}{x _{2} - x _{1}} Slope A B = \frac{- 3 - ( - 2 )}{8 - 5} = \frac{- 1}{3} Slope BC = \frac{- 12 - ( - 3 )}{a - 8} = \frac{- 9}{a - 8} Setting them equal: \frac{- 1}{3} = \frac{- 9}{a - 8} ⟹ a - 8 = 27 ⟹ a = 35

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The points (5, - 2), (8, - 3) and (a, - 12) are collinear if the value of a is:

31

32

34

35

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