JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 8 January 2020, Shift 2, Maths Q66

Question 66 of 75 in this shift, Maths question 16 of 25, Section A.

The 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 points lies on this plane ?

(1) $(-1, -1, -1)$
(2) $(1, 1, 1)$
(3) $(1, -1, 1)$ Official answer
(4) $(-1, -1, 1)$

Official answer

Option 3

NTA final key (Jan 2020).

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
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

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.