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MathsJEE Main 4 Apr 2026, Shift 2·Q23·Numerical·Moderate

Straight Lines · Angle bisector of two lines

Let AA, BB be points on the two half-lines x−3 ∣y∣=αx - \sqrt3\,\lvert y\rvert = \alpha, α>0\alpha > 0 at a distance of α\alpha from their point of intersection PP. The line segment ABAB meets the angle bisector of the given half-lines at the point QQ. If PQ=92PQ = \dfrac92 and RR is the radius of the circumcircle of △PAB\triangle PAB, then α2R\dfrac{\alpha^2}{R} is equal to .

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