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Saturday, 31 October

JEE Main 2022 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 26 June 2022, Shift 2, Maths Q29

Question 29 of 90 in this shift, Maths question 29 of 30, Section B.

Let a line L1L_1 be tangent to the hyperbola x216−y24=1\frac{x^2}{16} - \frac{y^2}{4} = 1 and let L2L_2 be the line passing through the origin and perpendicular to L1L_1. If the locus of the point of intersection of L1L_1 and L2L_2 is (x2+y2)2=αx2+βy2(x^2 + y^2)^2 = \alpha x^2 + \beta y^2, then α+β\alpha + \beta is equal to ______.

Official answer

12

NTA final key.

Chapter
Conic Sections
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.