List of top Mathematics Questions on circle asked in KEAM

The area of the circle \( x^2 - 2x + y^2 - 10y + k = 0 \) is \( 25\pi \). The value of \( k \) is equal to:

If the area of the circle $4x^2 + 4y^2 + 8x - 16y + \lambda = 0$ is $9\pi$ sq. units, then the value of $\lambda$ is:

The radius of the circle passing through the points $(2,3)$, $(2,7)$ and $(5,3)$ is:

If a diameter of the circle $x^2 + y^2 - 2x - 6y + 6 = 0$ is a chord of another circle $C$ having centre $(2, 1)$, then the radius of the circle $C$ is:

In the family of concentric circles $2(x^2 + y^2) = k$, the radius of the circle passing through $(1, 1)$ is:

\(ABCD\) is a square with side \(a\). If \(AB\) and \(AD\) are along the coordinate axes, then the equation of the circle passing through the vertices \( A, B \) and \( D \) is

The point on the circle \( (x-1)^2 + (y-1)^2 = 1 \) which is nearest to the circle \( (x-5)^2 + (y-5)^2 = 4 \) is

The parametric form of equation of the circle \( x^2 + y^2 - 6x + 2y - 28 = 0 \) is

A circle passes through the point \( (6,2) \). If segments of the straight lines \( x+y=6 \) and \( x+2y=4 \) are two diameters of the circle, then its radius is