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JEE Main 2017 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 2 April 2017 (offline), Maths Q83

Question 83 of 90 in this shift, Maths question 23 of 30.

If the image of the point

P(1,-2,3)

in the plane,

2x+3y-4z+22=0

measured parallel to the line,

\frac{x}{1}=\frac{y}{4}=\frac{z}{5}

is Q, then PQ is equal to :

(1) $2\sqrt{42}$ Official answer
(2) $\sqrt{42}$
(3) $6\sqrt{5}$
(4) $3\sqrt{5}$

Official answer

Option 1

CBSE answer key (25/04/2017, used for result).

Chapter: Three Dimensional Geometry
Topic: Point-Plane Distance
Idea tested: Image of a Point

Same idea in other shifts

Asked 2× in all

29 Jun 2022, Shift 1 · Q3If the mirror image of the point $(2, 4, 7)$ in the plane $3x - y + 4z = 2$ is $(a, b, c)$ , then $2a + b + 2c$ is equal to :EasySingle correct

Question text from the official JEE Main paper published by NTA (CBSE ran the 2017 exam); answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.