Conic Section T...

The equation of the director circle of the hyperbola 9x - 16y² = 144 is

If P(at², 2at) is one end of a focal of the parabola y² = 4ax, then the length of the focal chord is

Locus of mid - point of any focal chord y² = 4ax is

The equation of the chord joining two points (x ₁, y₁) and (x ₂, y₂) on the rectangular hyperbola xy = c² is

Find the measure of angle between the asymptotes of x² - y² = 16

The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x² + 9y² = 9 meets its auxiliary circle at the point M. Then, the area of the triangle with vertices A, M and the origin O is

The product of perpendicular drawn from any point of a hyperbola to its asymptotes is

Given the two ends of the latus rectum, the maximum number of parabolas that can be drawn is

If the vertex of the parabola is (2, 0) and extremities of the latus rectum are (3, 2) and (3,–2), then the equation of the parabola is

The equation of the parabola whose vertex and focus are on the positive side of the x–axis at distances α and b respectively from the origin is