IPMAT Indore 2025 (SA) PYQs

The equation $x^2 + y^2 - 2x - 4y +5 = 0$ represents

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

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