Maths Question 24 – JEE-MAIN 2026

Consider the circle C : $x^2+y^2-6x-8y-11=0$. Let a variable chord AB of the circle C subtend a right angle at the origin. If the locus of the foot of the perpendicular drawn from the origin on the chord AB is the circle $x^2+y^2-\alpha x-\beta y-\gamma =0$, then $\alpha +\beta +2\gamma$ is equal to _______.