NDA || Maths || Coordinate Geometry

If the distance between the foci of hyperbola is 16 and its eccentricity is , then obtain the equation of hyperbola.

The eccentricity of the hyperbola whose latus rectum is 8 and conjugate axis is equal to half of the distance between the foci is

The lines 3x – 4y + 4 = 0 and 6x – 8y – 7 = 0 are tangents to a circle, then find the diameter of the circle.

Find the equation of the circle which touches x – axis and whose centre is (1,2).

Find the equation passing through the point (5, 2) and perpendicular to the line joining the points (2, 3) and (3, -1)