Question

The points (-5, 1), (1, p) and (4, -2) are collinear if

Answer 1

Answer:

Ans = -1

Step-by-step explanation:

(Explanation is in the image)

Answer 2

Step-by-step explanation:

Let A = (x1,y1) = (-5, 1); B = (x2,y2) = (1, p) ;

C = (x3,y3) = (4, -2)

CONDITION FOR COLLINEARITY

x1(y2-y3) + x2(y3-y1) + x3(y1-y2) = 0

or, -5{p-(-2)} + 1(-2-1) + 4(1-p) = 0

or, -5(p+2) + 1(-3) + 4 - 4p = 0

or, -5p -10 -3 +4 -4p = 0

or, -9p = 9

or, p= -1