Conic Section T...

The equation of the parabola whose axis is vertical and passes through the points (0, 0), (3, 0) and (–1, 4) is

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

The coordinates of the focus of the parabola described parametrically by x = 5t² + 2, y = 10t + 4 are

The equation of a tangent to the parabola y² = 8x is y = x + 2. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is

The equation of the parabola with (–3, 0) as focus and x + 5 = 0 as directrix is

The equation of the parabola whose vertex and focus lies on the x–axis at distance a and a’ from the origin is

The straight lines y = ±x intersect the parabola y² = 8x in points P and Q, then length of PQ is

Vertex of the parabola x² + 4x + 2y – 7 = 0 is

If the axis of a parabola is horizontal and it passes through the points (0, 01), (0, –1) and (6, 1) then its equation is

The equation of the latus rectum of the parabola represented by equation y² + 2Ax + 2By + C = 0 is