Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

Given that A (3, 2, –4), B (5, 4, –6) and C (9, 8, –10) are collinear. The ratio in which B divides AC

Options:

1 : 2

2 : 1

–1 : 2

–2 : 1

Correct Answer:

1 : 2

Explanation:

$\frac{9 \lambda+3}{\lambda+1}=5 \Rightarrow 9 \alpha-5 \alpha=2$

$\Rightarrow \lambda=\frac{1}{2}$