List of top Mathematics Questions on circle asked in AP EAPCET

If the equation \[ x^2-6x+y^2+8y+9=0 \] represents a circle, then its radius is:

The length of the intercept made by the circle $x^2 + y^2 - 10x + 4y + 9 = 0$ on the x-axis is:

The length of the tangent from the point $(3, 4)$ to the circle $x^2 + y^2 - 2x - 4y + 1 = 0$ is:

If the circle $x^2 + y^2 + 2gx + 2fy + c = 0$ passes through the origin, has radius 3, and its center lies on the line $x + y = 4$, then $g + f =$

If the circle $x^2 + y^2 - 4x - 6y + \lambda = 0$ touches the x-axis, then the value of $\lambda$ is:

The equation of the common chord of the circles $x^2 + y^2 - 4x - 4y = 0$ and $x^2 + y^2 - 6x - 8y + 10 = 0$ is:

If the circle $x^2 + y^2 + 2x - 2y + c = 0$ cuts the circle $x^2 + y^2 - 4x - 6y + 11 = 0$ orthogonally, then the value of $c$ is:

If the lines joining the origin to the points of intersection of the line $y = mx + 1$ and the circle $x^2 + y^2 = 1$ are perpendicular to each other, then the value of $m^2$ is:

If the circle \[ x^2+y^2+2ax+c=0 \] lies completely inside the circle \[ x^2+y^2+2bx+c=0, \] then which of the following holds?

If the line \[ 3x-4y=1 \] touches the circle \[ (x-1)^2+(y+2)^2=4 \] at \((\alpha,\beta)\), the values of \(\alpha\) and \(\beta\) are

For any real number \(t\), the point \(\left(\dfrac{8t}{1+t^2},\dfrac{4(1-t^2)}{1+t^2}\right)\) lies on a/an

Suppose the angle between the tangents drawn from \((0,0)\) to the circle \[ (x+\lambda)^2+(y+1)^2=\lambda^2 \] is \(\frac{\pi}{2}\). Then \(\lambda\) satisfies:

The circle \[ x^2+y^2-4x-8y+16=0 \] rolls up along the tangent drawn to it at \((2+\sqrt3,3)\) by \(2\) units. The equation of the circle in the new position is:

If a circle of radius \(3\) passes through the point \((7,3)\) and has its centre on the line \[ x-y-1=0, \] then its equation among the following is:

Number of circles intersecting \[ x^2+y^2=4,\quad x^2+y^2-2x-3=0 \] and \[ x^2+y^2-2y-3=0 \] orthogonally is:

If the segments of the straight lines \[ x+y=6 \] and \[ x+2y=4 \] are two diameters of a circle passing through \((6,2)\), then the equation of that circle is: