JEE Main 31 August 2021, Shift 2, Maths Q90

Question 90 of 90 in this shift, Maths question 30 of 30, Section B.

Suppose the line

\frac{x-2}{\alpha} = \frac{y-2}{-5} = \frac{z+2}{2}

lies on the plane

x+3y-2z+\beta = 0

. Then

(\alpha+\beta)

is equal to ______________.

Official answer

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Planes in 3D
Idea tested: Condition for Line to Lie in Plane

Same idea in other shifts

Asked 2× in all

29 Jun 2022, Shift 2 · Q12Let $\frac{x - 2}{3} = \frac{y + 1}{-2} = \frac{z + 3}{-1}$ lie on the plane $px - qy + z = 5$ , for some $p, q \in \mathbb{R}$ . The…MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 108 of the 174 JEE Main shifts held from 2017 to 2026.