List of top Mathematics Questions on Circle asked in KEAM

If the circle $x^{2}+y^{2}-6x-12y-55=0$ intercepts the x-axis at two points $A$ and $B$, then $|AB|$ is equal to
The end-points of a diameter of a circle are (−1,4) and (5,4). Then the equation of the circle is
A circle passes through the points \( (0, 0) \) and \( (0, 1) \) and also touches the circle \( x^2 + y^2 = 16 \). The radius of the circle is:
A circle of radius \( \sqrt{8} \) is passing through origin and the point \( (4, 0) \). If the centre lies on the line \( y = x \), then the equation of the circle is:
The parametric form of the ellipse \( 4(x + 1)^2 + (y - 1)^2 = 4 \) is:
The centre of the circle whose radius is \( 5 \) and which touches the circle \( x^2 + y^2 - 2x - 4y - 20 = 0 \) at \( (5, 5) \) is:
The circumcentre of the triangle with vertices \( (8, 6), (8, -2) \) and \( (2, -2) \) is at the point:
A circle of radius \( \sqrt{8} \) is passing through origin and the point \( (4, 0) \). If the centre lies on the line \( y = x \), then the equation of the circle is:
The parametric form of the ellipse \( 4(x + 1)^2 + (y - 1)^2 = 4 \) is:
The centre of the circle whose radius is \( 5 \) and which touches the circle \( x^2 + y^2 - 2x - 4y - 20 = 0 \) at \( (5, 5) \) is:
A circle passes through the points \( (0, 0) \) and \( (0, 1) \) and also touches the circle \( x^2 + y^2 = 16 \). The radius of the circle is:
The circumcentre of the triangle with vertices \( (8, 6), (8, -2) \) and \( (2, -2) \) is at the point:
A circle passes through the points \( (0, 0) \) and \( (0, 1) \) and also touches the circle \( x^2 + y^2 = 16 \). The radius of the circle is:
A circle of radius \( \sqrt{8} \) is passing through origin and the point \( (4, 0) \). If the centre lies on the line \( y = x \), then the equation of the circle is:
The parametric form of the ellipse \( 4(x + 1)^2 + (y - 1)^2 = 4 \) is:
The centre of the circle whose radius is \( 5 \) and which touches the circle \( x^2 + y^2 - 2x - 4y - 20 = 0 \) at \( (5, 5) \) is:
The circumcentre of the triangle with vertices \( (8, 6), (8, -2) \) and \( (2, -2) \) is at the point: