JEE Main 2023 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 6 April 2023, Shift 1, Maths Q30

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

Let 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 the area of the triangle PQR is ____________

Official answer

594

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

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
11 Apr 2023, Shift 1 · Q2Let $(\alpha, \beta, \gamma)$ be the image of the point $P(2, 3, 5)$ in the plane $2x + y - 3z = 6$ . Then $\alpha + \beta + \gamma$ is…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.