IPMAT Rohtak 2019 (QA) PYQs

If the shortest distance of a given point to a given circle is $4 \, \text{cm}$ and the longest distance is $9 \, \text{cm}$, then the radius of the circle is

If the radii of two concentric circles are 4 cm and 5 cm, then the length of a chord of one circle that is tangent to the other circle is

The shortest distance from the point $(-4,3)$ to the circle $(x^2 + y^2 = 1)$ is __________.