ABC is an isosceles triangle where AB = AC which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true

ABC is an isosceles triangle inscribed in a circle. If AB = AC = 12√5 and  BC = 24 cm then radius of circle is                     

A and B are the centres of two circles with radii 11 cm and 6 cm respectively. A common tangent touches these circles at P & Q respectively. If AB = 13 cm, then the length of PQ is 

Let G be the centroid of the equilateral triangle ABC of perimeter 24 cm. Then the length of AG is

Let two chords AB and AC of the larger circle touch the smaller circle having same centre at X and Y. Then XY = ?

A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is