JEE Main 2024 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 5 April 2024, Shift 2, Maths Q15

Question 15 of 90 in this shift, Maths question 15 of 30, Section A.

Let the circle

C_1 : x^2+y^2-2(x+y)+1=0

and

C_2

be a circle having centre at

(-1, 0)

and radius 2. If the line of the common chord of

C_1

and

C_2

intersects the

y

-axis at the point

P

, then the square of the distance of

P

from the centre of

C_1

is :

(1)1
(2)2Official answer
(3)4
(4)6

Official answer

Option 2

NTA final key.

Chapter: Conic Sections
Topic: Power of a Point
Idea tested: Radical axis of two circles

Same idea in other shifts

Asked 3× in all

13 Apr 2023, Shift 1 · Q21Let $w=z\bar{z}+k_1z+k_2iz+\lambda(1+i)$ , $k_1,k_2\in\mathbb{R}$ . Let $\mathrm{Re}(w)=0$ be the circle C of radius 1 in the first quadrant…HardNumerical value
4 Sep 2020, Shift 2 · Q65The circle passing through the intersection of the circles, $x^2+y^2-6x=0$ and $x^2+y^2-4y=0$ , having its centre on the line,…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.