JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 September 2020, Shift 2, Maths Q65

Question 65 of 75 in this shift, Maths question 15 of 25.

The 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,

2x-3y+12=0

, also passes through the point :

(1) $(1, -3)$
(2) $(-3, 1)$
(3) $(-3, 6)$ Official answer
(4) $(-1, 3)$

Official answer

Option 3

NTA final key (Sep 2020).

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

Same idea in other shifts

Asked 3× in all

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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

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.