Conic Section T...

Equation of the ellipse whose focii are (2, 2) and (4, 2) and the length of major axis is

The equation of parabola with focus (0, 9) and x + y = 4 is

The equation of the ellipse whose focii are (2, 0) and eccentricity (1, 2) is

If (0, 6) and (0,3) are respectively the vertex and focus of a parabola, then its equation is

The curve with parametric x = e^t + e^-t and y = e^t - e^-t is

The equation of a parabola which passes through the intersection of a straight line x + y = 0 and the circle x² + y² + 4y = 0, is

The point (4, -3) with respect to the ellipse 4x² + 5y² = 1

The foci of an ellipse are (0, ±4) and the equations for the directrices are y = ± 9. The equation for the ellipse is

The locus of the foot of perpendicular drawn from the centre of the ellipse x² + 3y² = 6 on anytangent to it, is

the slope of the line touching both parabolas y² = 4x and x² = - 32y is