If the points A(x, 2), B(-3, -4) and C(7, -5) are collinear then the value of x is

Question

Philoid · Accepted Answer

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:

⇒ A = 0

= 0

⇒ 1/2 × {[(x + 3) × 1] – [6× -10]} = 0

⇒ x + 3 + 60 = 0

⇒ x = -63

Therefore the value of x is -63.