MEDIUM
JEE Main/Advance
IMPORTANT
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The equation of the hyperbola whose directrix is 2x+y=1, corresponding focus is (1, 2) and eccentricity 3, is given by

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Important Questions on Conic Section

MEDIUM
JEE Main/Advance
IMPORTANT
If the foci of the ellipse x216+y2b2=1 and the hyperbola x2144-y281=125 coincide, then the value of b2 is
MEDIUM
JEE Main/Advance
IMPORTANT
For hyperbola x2cos2α-y2sin2α=1 which of the following remains constant with change in 'α'?
EASY
JEE Main/Advance
IMPORTANT
The locus of a point of the form et+e-t, et-e-t is
HARD
JEE Main/Advance
IMPORTANT
If e and e' be the eccentricities of a hyperbola and its conjugate, then e2+e'2 is equal to
EASY
JEE Main/Advance
IMPORTANT
If the eccentricity of a hyperbola is 3, then the eccentricity of its conjugate hyperbola is
EASY
JEE Main/Advance
IMPORTANT
If the distance between the foci and the distance between the directrices of the hyperbola x2a2-y2b2=1 are in the ratio 3:2, then a:b is =
HARD
JEE Main/Advance
IMPORTANT
Let PQ be a latus rectum of the hyperbola x2a2-k2b2=1 and O be the centre. If ΔOPQ is an equilateral triangle and e is eccentricity of the hyperbola, then
HARD
JEE Main/Advance
IMPORTANT
The line 5x+12y+9=0 touches the hyperbola x2-9y2=9 at the point