Q11 of 49 Page 167

If the distance between two points (x, 7) and (1, 15) is 10, find the value of x.

7 or -5

Let A(x,7) and B(1,15)


be the point


⇒ AB =


AB = 10


AB2 = 102


⇒ (1-x)2 + 82 = 102


⇒ x2-2x + 1 + 64 = 100


⇒ x2-2x-35 = 0


⇒ (x-7)(x + 5) = 0


⇒ X = 7 or x = -5


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