JEE Main 2021 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 3 August 2021, Shift 1, Maths Q67

Question 67 of 90 in this shift, Maths question 7 of 30, Section A.

The sum of the intercepts on the coordinate axes made by the tangent at any point on the curve,

\sqrt{x} + \sqrt{y} = 3

(1)3
(2)6
(3)9Official answer
(4)12

Official answer

Option 3

NTA final key.

Chapter: Application of Derivatives
Topic: Tangents and Normals
Idea tested: Constant Sum of Intercepts

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