class 12

Missing

JEE Advanced

let the point B be the reflection of the point A(2,3) with respect to the line 8x-6y-23=0. let $T_{A}$ and $T_{B}$ be circles of radii 2 and 1 with centres A and B respectively. Let T be a common tangent to the circles $T_{A}$ and $T_{B}$ such that both the circles are on the same side of $T$. if C is the point of intersection of T and the line passing through A and B then the length of the line segment AC is