The value of k for which the points A(0, 1), B(2, k) and C(4, -5) are collinear is... | MCQ 1m | Maths | SuperPadhai

Coordinate Geometry > Question

MCQ1 markYear: 2020EasyCBSE Class 10

coordinate-geometrycollinear-points

Question

The value of

k

for which the points

A (0, 1)

,

B (2, k)

and

C (4, - 5)

are collinear is

Solution

1

For collinear points, area

= 0

:

\frac{1}{2} ∣0 (k + 5) + 2 (- 5 - 1) + 4 (1 - k) ∣ = 0 \Rightarrow - 12 + 4 - 4 k = 0 \Rightarrow k = - 2

+1 mark

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