List of top Mathematics Questions on Circle asked in BITSAT

Find the equation of the circle which passes through the points $ (1,2) $, $ (4,3) $ and has its center on the line $ x + y = 5 $.
A circle touches both the y-axis and the line \( x + y = 0 \). Then the locus of its center is:

Length of tangent from (3,4) to x2+y2 = 9?

The equation of the circle which passes through the point $(4, 5)$ and has its centre at $(2, 2)$ is
The lengths of the tangent drawn from any point on the circle $15x^2 +15y^2 - 48x + 64y = 0$ to the two circles $5x^2 + 5y^2 - 24x + 32y + 75 = 0$ and $5x^2 + 5y^2 - 48x + 64y + 300 = 0$ are in the ratio of
The length of the chord $x + y = 3$ intercepted by the circle $x^2 + y^2 - 2x - 2y - 2 = 0$ is
The angle of intersection of the two circles $x^2 + y^2 - 2x - 2y = 0$ and $x^2 + y^2 = 4$, is
$S$ and $T$ are the foci of an ellipse and $B$ is an end of the minor axis. If $STB$ is an equilateral triangle, then the eccentricity of the ellipse is
The radius of the circle $x^2+Y^2+4x+6y+13=0$ is
The center of the circle $x = 2 + 3 \cos \theta ,y=3\, \sin \theta -1$ is
The number of common tangents to circle $x^{2}+y^{2}+2 x+8 y-23=0$ and $x^{2}+y^{2}-4 x-10 y+9=0$, is.