Q6 of 34 Page 1

Find the value of p for which the points ( -1, 3 ), ( 2, p ) and ( 5, - 1 ) are collinear.

Let A(-1, 3), B(2, p) and C(5, -1) are three points


Three points A, B and C are collinear if and only if


Area(ΔABC) = 0


As we know area of triangle formed by three points (x1, y1), (x2,y2) and (x3, y3)





⇒ 0=-6p + 6


⇒ 6p = 6


⇒ p = 1


So, For p = 1, A, B and C are collinear.


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