Q30 of 157 Page 760

If the points A(2, 3), B(5, k) and C(6, 7) are collinear then

Three points A, B, C are said to be collinear if,


Area of triangle formed by three points is zero


The formula of Area of Triangle of three points is given as follows:


Area, A = 0


⇒ = 0


⇒ 1/2 × {[-3k + 21] – [-3 + k]} = 0


⇒ -4k + 21 + 3 = 0


⇒ 4k = 24


⇒ k = 6


Therefore the value of k is 6.

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