Question

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

Answer 1

Answer:

X = -63

Step-by-step explanation:

The given points are A(x, 2) , B(-3, -4) and C(7, -5).

The points A, B and  C are collinear if area of a triangle formed by joining these points is 0.

So, area of Δ ABC = 0

⇒12[x1(y2−y3) + x2(y3−y1) + x3(y1−y2)] = 0

⇒12[x(−4+5)−3(−5−2) +7(2+4)] = 0⇒12[x − 3(−7)+ 7×6] = 0

⇒12[x+21+42] = 0

⇒12[x+63] = 0⇒x+63 = 0

⇒x = −63

Answer 2

Please see the attachment