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Saturday, 31 October

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JEE Main 2022 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 28 July 2022, Shift 2, Maths Q72

Question 72 of 90 in this shift, Maths question 12 of 30, Section A.

The differential equation of the family of circles passing through the points

(0,2)

and

(0,-2)

is :

(1) $2xy\frac{dy}{dx}+(x^2-y^2+4)=0$ Official answer
(2) $2xy\frac{dy}{dx}+(x^2+y^2-4)=0$
(3) $2xy\frac{dy}{dx}+(y^2-x^2+4)=0$
(4) $2xy\frac{dy}{dx}-(x^2+y^2+4)=0$

Official answer

Option 1

NTA final key.

Chapter: Differential Equations
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

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.