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JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 8 January 2020, Shift 2, Maths Q63

Question 63 of 75 in this shift, Maths question 13 of 25, Section A.

The differential equation of the family of curves,

x^2 = 4\mathrm{b}(y + \mathrm{b})

,

\mathrm{b} \in \mathbf{R}

, is :

(1) $xy'' = y'$
(2) $x(y')^2 = x - 2yy'$
(3) $x(y')^2 = x + 2yy'$ Official answer
(4) $x(y')^2 = 2yy' - x$

Official answer

Option 3

NTA final key (Jan 2020).

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.