JEE Main 2023 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 13 April 2023, Shift 1, Maths Q27

Question 27 of 90 in this shift, Maths question 27 of 30, Section B.

Let 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

Q(6,-2,\alpha)

\alpha>0

, from P is 13, then

\alpha

is equal to ________.

Official answer

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
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
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.