Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

If P1P2 is perpendicular to P2P3, then the value of k is, where P1(k, 1, –1), P2(2k, 0, 2) and P3(2 + 2k, k , 1)

Options:

3

-3

2

-2

Correct Answer:

3

Explanation:

Direction ratios of P1 P2 = <k, − 1, 3>

direction ratios of P2 P3 = <2, k, − 1>

Therefore 2k − k − 3 = 0

⇒ k = 3