Question

Find the value of p if the points A(p,2), B(1,-4) and C(2,-5) are collinear​

Answer 1

This is ur answer buddy

Answer 2

The value of p is equal to - 5.

Step-by-step explanation:

The given three points A(p, 2), B(1, - 4) and C(2, - 5)  are collinear​.

To find, the value of p = ?

We know that,

The condition of three points are collinear.

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

⇒ $p(-4+5)+1(-5-2)+2(2+4)=0$

⇒ p(1) + 1(- 7) + 2(6) = 0

⇒ p - 7 + 12 = 0

⇒ p + 5 = 0

⇒ p = - 5

Thus, the value of p is equal to - 5.