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Friday, 9 October

JEE Main 2026 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 6 April 2026, Shift 2, Maths Q23

Question 23 of 75 in this shift, Maths question 23 of 25, Section B.

Let the line x−y=4x-y=4 intersect the circle C : (x−4)2+(y+3)2=9(x-4)^2+(y+3)^2=9 at the points Q and R. If P(α,β)(\alpha,\beta) is a point on C such that PQ = PR, then (6α+8β)2(6\alpha+8\beta)^2 is equal to __________.

Official answer

18

NTA final key.

Topic
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Idea tested
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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.