JEE Main 2025 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 3 April 2025, Shift 1, Maths Q11

Question 11 of 75 in this shift, Maths question 11 of 25, Section A.

The radius of the smallest circle which touches the parabolas

y = x^2 + 2

and

x = y^2 + 2

(1) $\frac{7\sqrt{2}}{2}$
(2) $\frac{7\sqrt{2}}{16}$
(3) $\frac{7\sqrt{2}}{4}$
(4) $\frac{7\sqrt{2}}{8}$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Conic Sections
Topic: Normals to Conics
Idea tested: Shortest Distance via Common Normal

Same topic in other shifts

All Normals to Conics questions

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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 42 of the 174 JEE Main shifts held from 2017 to 2026.