Question bank/JEE Main/Mathematics
JEE MainMathematicsToughHyperbola
A hyperbola passes through the focus of the ellipse
[IMAGE] and its transverse and conjugate axes coincide
with the x & y -axis respectively. Also the eccentricity of the
hyperbola is the reciprocal of the eccentricity of the ellipse. Then
x-coordinate of one of the focus of the hyperbola is
Show answer and solution
Eccentricity of ellipse[IMAGE] Focus of ellipse is[IMAGE] Hence its equation is [IMAGE] This passes through [IMAGE] Hence equation of hyperbola is [IMAGE] One of the focus of hyperbola is [IMAGE]
Source: Grass-G / M-14 Mathematics Paper 7 Nov.docx
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