List of top Mathematics Questions on Circle asked in KCET

If in two circles, arcs of the same length subtend angles $30^\circ$ and $78^\circ$ at the centre, then the ratio of their radii is:

The number of real circles cutting orthogonally the circle $x^2 + y^2 + 2x - 2y + 7 = 0$ is

The length of the diameter of the circle which cuts three circles $x^2 + y^2 - x - y - 14 = 0;$ $x^2 + y^2 + 3x - 5y - 10 = 0 ;$ $x^2 + y^2 - 2x + 3y - 27 = 0$ orthogonally, is

The point $(5, - 7)$ lies outside the circle

The number of common tangents to the circles $x^2+y^2=4 $ and $ x^2+y^2-6x-8y-24=0 $ is

The digit in the units place in the number $7^{289}$ is

The radius of the circle passing through the point $(6, 2)$ and two of whose diameters are $x + y = 6$ and $x + 2y = 4$ is

The coaxal system of circles given by $x^{2} + y^{2} + 2gx + c = 0$ for $c < 0$ represents.

The value of $k$ so that $x^{2} + y^{2} + kx + 4y + 2 = 0 $ and $2(x^{2}+y^{2})- 4x - 3y + k = 0$ cut orthogonally is

The locus of the centre of the circle \(x^2 + y^2 + 4x \,\cos \,\theta - 2y\, sin \theta - 10 = 0\) is

If in two circles, arcs of the same length subtend angles 30° and 78° at the centre, then the ratio of their radii is