IPMAT Rohtak 2019 (QA) PYQs

The equation of the circle which passes through the point $(4,5)$ and its centre at $(2,2)$ is

The pair of tangents drawn from an external point to a circle are perpendicular to each other and the length of each tangent (from the point to the circle) is 5 cm. The radius of the circle is

The radius of two concentric circles are 13 cm and 8 cm. AB is a diameter of the bigger circle. BD is tangent to the smaller circle touching it at D. The length AD is.