IPMAT Indore 2023 (SA) PYQs

If $\theta$ is the angle between the pair of tangents drawn from the point $(0,\frac{7}{2})$ to the circle $x^2 + y^2 - 14x + 16y + 88 = 0$, then $\tan \theta$ equals

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

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