Question

19) Find the value of P if (P, -2), (-5, 6) and (1, 2) are Collinear.

Answer 1

Answer:

Since they are collinear their slopes will be equal so answer is 7

Answer 2

Answer:

7

Step-by-step explanation:

Given, A(p , -2), B(-5 , 6), C(1 , 2)

Since the points are collinear

Midpoint of AB = Coordinates of C

Midpoint of AB = (p - 5)/2 , (-2 + 6)/2 = (p - 5)/2 , 2 [(x1 + x2)/2 , (y1 + y2)/2]

∴ (p - 5)/2 , 2 = 1 , 2

(p - 5)/2 = 1  ⇒ p - 5 = 2  ⇒  p = 7