The transverse axis of a hyperbola is of length and a vertex divides the segment of…

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The transverse axis of a hyperbola is of length 2a2a and a vertex divides the segment of the axis between the centre and the corresponding focus in the ratio 2 : 1, then the equation of the hyperbola is (1) 4x2−5y2=4a24x^2 - 5y^2 = 4a^2 (2) 4x2−5y2=5a24x^2 - 5y^2 = 5a^2 (3) 5x2−4y2=4a25x^2 - 4y^2 = 4a^2 (4) 5x2−4y2=5a25x^2 - 4y^2 = 5a^2

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