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Maths Vector Algebra JEE (Main) / AIEEE Problems ( Previous Year ) Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

Let the line = = lies in the plane x + 3y – α z + β = 0. Then ( α , β ) equals

(6, – 17)

(– 6, 7)

(5, – 15)

(– 5, 15)

Text Solution

Verified by Experts

The correct answer is:

Parallel vector of line and normal vector of plane are ⊥

3 + (–15) – 2 α = 0

α = – 6

Now 2 + 3 – α (–2) + β = 0 [(2, 1, –2) lies on the plane]

⇒ β = – 5 + 12 = 7

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