The value of p, for which the points A(3, 1), B(5, p) and C(7, -5) are collinear, is:... | MCQ 1m | Maths | SuperPadhai

Coordinate Geometry > Question

MCQ1 markYear: 2020EasyCBSE Class 10

coordinate-geometrycollinearity

Question

The value of

p

, for which the points

A (3, 1)

,

B (5, p)

and

C (7, - 5)

are collinear, is:

Solution

1

For collinear points, area

= 0

:

\frac{1}{2} ∣3 (p + 5) + 5 (- 5 - 1) + 7 (1 - p) ∣ = 0

\Rightarrow 3 p + 15 - 30 + 7 - 7 p = 0 \Rightarrow p = - 2

+1 mark

Practice this question interactively with step-by-step AI feedback

Sign up for SuperPadhai