List of top Mathematics Questions on Circles asked in MET

If the distance between the foci of an ellipse is 6 and the length of the minor axis is 8, then the eccentricity is

The locus of the point \(P(x, y)\) satisfying \(\sqrt{(x-3)^2 + (y-1)^2} + \sqrt{(x+3)^2 + (y-1)^2} = 6\) is

The equation of the parabola whose vertex is (-1, -2), axis is vertical and which passes through the point (3, 6), is

The length of the axis of the conic \(9x^2 + 4y^2 - 6x + 4y + 1 = 0\) are

The normal at the point (3, 4) on a circle cuts the circle at the point (-1, -2). Then the equation of the circle is

Consider the hyperbola $\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$, the area of the triangle formed by the asymptotes and the tangent drawn to it at $(a,0)$ is

The locus of the point of intersection of two perpendicular tangents to a circle is called

The difference of the focal distances of any point on the hyperbola is equal to its