JEE Main 2021 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 25 February 2021, Shift 1, Maths Q70

Question 70 of 90 in this shift, Maths question 10 of 30, Section A.

The image of the point (3, 5) in the line

x - y + 1 = 0

, lies on :

(1) $(x-4)^2 + (y+2)^2 = 16$
(2) $(x-2)^2 + (y-4)^2 = 4$ Official answer
(3) $(x-4)^2 + (y-4)^2 = 8$
(4) $(x-2)^2 + (y-2)^2 = 12$

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 7× in all

8 Apr 2024, Shift 2 · Q15If the image of the point $(-4, 5)$ in the line $x + 2y = 2$ lies on the circle $(x+4)^2 + (y-3)^2 = r^2$ , then r is equal to :EasySingle correct
8 Apr 2024, Shift 2 · Q22Let a ray of light passing through the point $(3, 10)$ reflects on the line $2x + y = 6$ and the reflected ray passes through the point…MediumNumerical value
9 Apr 2024, Shift 1 · Q14A 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 $R(4,3)$ .…MediumSingle correct
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
28 Jun 2022, Shift 1 · Q25A ray of light passing through the point P(2, 3) reflects on the $x$ -axis at point A and the reflected ray passes through the point Q(5,…MediumNumerical value
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 108 of the 174 JEE Main shifts held from 2017 to 2026.