Find the locus of the poles of normal chords of the hyperbola
Let (x1, y1) be the pole of a normal chord
of the hyperbola
then (i) must be identical with the polar of (x1, y1) with respect to
Comparing (i) and (iii), we obtained
∴ The required locus of (x1, y1) is
Find the eccentricity of the hyperbola whose latus rectum is half of its transverse axis.
Find the equation of the hyperbola whose foci are (6, 4) and (–4, 4) and eccentricity is 2.
Obtain the equation of a hyperbola with coordinate axes as principal axes given that the distances of one of its vertices from the foci are 9 and 1 units.
The foci of a hyperbola coincide with the foci of the ellipse . Find the equation of the hyperbola if its eccentricity is 2.
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Find the equation and the length of the common tangents to hyperbola
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Find the locus of the mid-points of the chords of the hyperbola which subtend a right angle at the origin.
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