List of top Mathematics Questions on Coordinate Geometry asked in AP ECET EIE

The eccentricity of $x^2 + 2y^2 = 3$ is

The centre and radius of the circle $x^2 + y^2 - 4x - 8y - 41 = 0$ are

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

Equation of the circle with centre $(-3, 2)$ and radius 4 is

The length of the latus rectum of the parabola $y^2 = 12x$ and the focal distance of the point $(3, -6)$ is

The equation of the Parabola, whose focus is $(0, -2)$ and the vertex is $(0, 0)$, is