Question

find the value of p if the points A P 2 b 3 - 4 and C 4 - 5 are collinear​

Answer 1

The value of p is equal to - 3.

Step-by-step explanation:

The given three points A(p, 2), B(3, - 4) and C (4, - 5) are collinear.

To find, the value of p = ?

We know that,

The condition of three points are collinear.

$x_{1}(y_{2}-y_{3})+x_{2}(y_{3}-y_{1})+x_{3}(y_{1}-y_{2})=0$

⇒ p(- 4 + 5) + 3(- 5 - 2) + 4(2 + 4) = 0

⇒ p(1) + 3(- 7) + 4(6) = 0

⇒ p - 21 + 24 = 0

⇒ p + 3 = 0

⇒ p = - 3

Thus, the value of p is equal to - 3.