Conic Sections
The equation of the circle with centre $(0, 2)$ and radius $2$ is:
Find the coordinates of the focus of the parabola $y^2 = 12x$.
The length of the latus rectum of the parabola $x^2 = -16y$ is:
The eccentricity of the ellipse $\frac{x^2}{25} + \frac{y^2}{9} = 1$ is:
The foci of the hyperbola $\frac{x^2}{16} - \frac{y^2}{9} = 1$ are:
The radius of the circle $x^2 + y^2 + 8x - 6y + 9 = 0$ is:
Which of the following represents a parabola?
The equation of the directrix of the parabola $y^2 = 8x$ is:
The length of the major axis of the ellipse $\frac{x^2}{36} + \frac{y^2}{16} = 1$ is:
The eccentricity of a parabola is always:
The coordinates of the vertices of the hyperbola $\frac{x^2}{9} - \frac{y^2}{16} = 1$ are:
If the equation of a circle is $(x - 3)^2 + (y + 2)^2 = 25$, then its centre is:
The length of the latus rectum of the ellipse $\frac{x^2}{25} + \frac{y^2}{9} = 1$ is:
The equation $x^2 + y^2 - 2x + 4y - 4 = 0$ represents a circle whose radius is:
The locus of a point moving in a plane such that the ratio of its distances from a fixed point and a fixed straight line is constant and equal to $1$ is a:
The length of the transverse axis of the hyperbola $\frac{x^2}{16} - \frac{y^2}{9} = 1$ is:
The equation of the parabola with focus at $(4, 0)$ and directrix $x = -4$ is:
The sum of the focal distances of any point on an ellipse is equal to:
The eccentricity of a circle is:
The angle between the asymptotes of the hyperbola $\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$ depends upon: