IPMAT Indore 2025 (SA) 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

Which of the following straight lines are both tangent to the circle $x ^ 2 + y ^ 2 - 6x + 4y - 12 = 0$?

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