JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 September 2020, Shift 2, Maths Q64

Question 64 of 75 in this shift, Maths question 14 of 25.

Let the latus ractum of the parabola

y^2 = 4x

be the common chord to the circles

C_1

and

C_2

each of them having radius

2\sqrt{5}

. Then, the distance between the centres of the circles

C_1

and

C_2

is :

(1) $4\sqrt{5}$
(2)8Official answer
(3) $8\sqrt{5}$
(4)12

Official answer

Option 2

NTA final key (Sep 2020).

Chapter: Conic Sections
Topic: Power of a Point
Idea tested: Length of Common Chord via Radical Axis

Same idea in other shifts

Asked 3× in all

30 Jan 2024, Shift 2 · Q28Consider two circles $C_1: x^2 + y^2 = 25$ and $C_2: (x - \alpha)^2 + y^2 = 16$ , where $\alpha \in (5, 9)$ . Let the angle between the two…HardNumerical value
28 Jun 2022, Shift 2 · Q23If one of the diameters of the circle $x^2+y^2-2\sqrt{2}x-6\sqrt{2}y+14=0$ is a chord of the circle…MediumNumerical 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.