Latus rectum of a hyperbola is a line segment perpendicular to the transverse axis through any of the foci and whose endpoints lie on the hyperbola. The length of the latus rectum in hyperbola …

A hyperbola is the set of all the points in a plane. In geometrical mathematics, Hyperbola is an interesting topic. Here we will discuss the Hyperbola formula with examples. Let us learn the …

Find the coordinates of the centre, foci and equation of directrix of the hyperbola x2 −3y2 −4x = 8.

A hyperbola passes through the foci of the ellipse x2 25+ y2 16= 1 and its transverse and conjugate axes coincide with major and minor axes of the ellipse, respectively.

Referred to the principle axes as the coordinate axes, find the equation of the hyperbola whose Foci are at (0,±√10) and which passes through the point (2,3).

The distance between the foci of a hyperbola is 16 and its eccentricity is √2, find the equation of the hyperbola.

Question The foci of hyperbola 9x2 −16y2 +18x+32y = 151 are Solution Verified by Toppr

The foci of the ellipse are also the foci of an hyperbola, then we have, for the ellipse, a2 −c2 =b2 so 25−c2 = 9 and that means c2 = 16. This ellipse has its major axis on the x-axis.

Find the equation of the hyperbola whose Transverse and Conjugate axes are the x and y axes respectively, given that the length of conjugate axis is 5 and distance between the foci is 13.

Find the equation of a hyperbola with eccentricity 2 and whose foci coincide with the ellipse x2/25+y2/9 = 1. View Solution Q 3