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Saturday, 31 October

JEE Main 2024 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 1 February 2024, Shift 2, Maths Q29

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

Let ABCABC be an isosceles triangle in which AA is at (−1,0)(-1,0), ∠A=2π3\angle A=\frac{2\pi}{3}, AB=ACAB=AC and BB is on the positive xx-axis. If BC=43BC=4\sqrt{3} and the line BCBC intersects the line y=x+3y=x+3 at (α,β)(\alpha,\beta), then β4α2\frac{\beta^4}{\alpha^2} is ________.

Official answer

36

NTA final key.

Chapter
Straight Lines
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.