JEE Main 2026 Mathematics question

MathematicsSolution of TrianglesJEE Main 2026

Not in JEE syllabus

Let A, B be points on the two half-lines x−√3|y|=α, α>0 at a distance of α from their point of intersection P. The line segment AB meets the angle bisector of the given half-lines at the point Q. If PQ=9/2 and R is the radius of the circumcircle of △PAB, then α²/R is equal to .

Answer: 9

Solution

The two half-lines make a 60° angle at P, so PAB is equilateral with side α. PQ (median

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Question ID VK-015357