JEE Main 2023 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 11 April 2023, Shift 1, Maths Q2

Question 2 of 90 in this shift, Maths question 2 of 30, Section A.

Let

(\alpha, \beta, \gamma)

be the image of the point

P(2, 3, 5)

in the plane

2x + y - 3z = 6

. Then

\alpha + \beta + \gamma

is equal to

(1)12
(2)10Official answer
(3)9
(4)5

Official answer

Option 2

NTA final key.

Chapter: Three Dimensional Geometry
Topic: Planes in 3D
Idea tested: Image of a Point in a Plane

Same idea in other shifts

Asked 5× in all

6 Apr 2023, Shift 1 · Q30Let the image of the point $(1,2,3)$ in the plane $2x-y+z=9$ be Q. If the coordinates of the point R are $(6,10,7)$ , then the square of…MediumNumerical value
10 Apr 2023, Shift 2 · Q14Let the image of the point $P(1, 2, 6)$ in the plane passing through the points $A(1, 2, 0)$ , $B(1, 4, 1)$ and $C(0, 5, 1)$ be…MediumSingle correct
13 Apr 2023, Shift 1 · Q27Let the image of the point $\left(\frac{5}{3},\frac{5}{3},\frac{8}{3}\right)$ in the plane $x-2y+z-2=0$ be P. If the distance of the point…MediumNumerical value
8 Jan 2020, Shift 2 · Q66The mirror image of the point $(1, 2, 3)$ in a plane is $\left(-\frac{7}{3}, -\frac{4}{3}, -\frac{1}{3}\right)$ . Which of the following…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.