JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 9 April 2024, Shift 1, Maths Q14

Question 14 of 90 in this shift, Maths question 14 of 30, Section A.

A ray of light coming from the point

P(1,2)

gets reflected from the point Q on the

x

-axis and then passes through the point

R(4,3)

. If the point

S(h,k)

is such that PQRS is a parallelogram, then

hk^2

is equal to :

(1) $60$
(2) $70$ Official answer
(3) $80$
(4) $90$

Official answer

Option 2

NTA final key.

Chapter: Straight Lines
Topic: Straight Line Distance
Idea tested: Image of a point in a line

Same idea in other shifts

Asked 3× in all

29 Jan 2024, Shift 1 · Q15In a $\Delta ABC$ , suppose $y=x$ is the equation of the bisector of the angle $B$ and the equation of the side $AC$ is $2x-y=2$ . If…HardSingle correct
6 Sep 2020, Shift 2 · Q64Let L denote the line in the $xy$ -plane with $x$ and $y$ intercepts as 3 and 1 respectively. Then the image of the point $(-1,-4)$ in this…EasySingle 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 42 of the 174 JEE Main shifts held from 2017 to 2026.