JEE Main 2021 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 24 February 2021, Shift 1, Maths Q76

Question 76 of 90 in this shift, Maths question 16 of 30, Section A.

The equation of the plane passing through the point

(1, 2, -3)

and perpendicular to the planes

3x + y - 2z = 5

and

2x - 5y - z = 7

, is :

(1) $6x - 5y + 2z + 10 = 0$
(2) $11x + y + 17z + 38 = 0$ Official answer
(3) $6x - 5y - 2z - 2 = 0$
(4) $3x - 10y - 2z + 11 = 0$

Official answer

Option 2

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Planes in 3D
Idea tested: Plane Perpendicular to Two Planes

Same idea in other shifts

Asked 4× in all

11 Apr 2023, Shift 1 · Q8If equation of the plane that contains the point $(-2, 3, 5)$ and is perpendicular to each of the planes $2x + 4y + 5z = 8$ and…MediumSingle correct
25 Jul 2022, Shift 2 · Q15A plane $E$ is perpendicular to the two planes $2x-2y+z=0$ and $x-y+2z=4$ , and passes through the point $P(1,-1,1)$ . If the distance of…MediumSingle correct
28 Jun 2022, Shift 2 · Q16Let the plane $ax+by+cz=d$ pass through $(2, 3, -5)$ and is perpendicular to the planes $2x+y-5z=10$ and $3x+5y-7z=12$ . If a, b, c, d are…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.