EASY
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IMPORTANT
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The distance between the foci of the conic 7x2-9y2=63 is equal to

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Important Questions on Hyperbola

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NDA & NA EE
IMPORTANT
The equation x212-k+y28-k=1 represents
EASY
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IMPORTANT
The equation of the hyperbola whose foci are 6,4 and -4,4 and eccentricity 2 is given by
EASY
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IMPORTANT
A hyperbola has center 'C' and one focus at P(6, 8). If its two directrices are 3x+4y+10=0 and 3x+4y-10=0, then CP=
MEDIUM
NDA & NA EE
IMPORTANT
The equation of tangents to the hyperbola 3x2-2y2=6, which is perpendicular to the line x-3y=3, are
MEDIUM
NDA & NA EE
IMPORTANT
The number of points from where a pair of perpendicular tangents can be drawn to the hyperbola x2sec2α-y2cosec2α=1α0,π4, is
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NDA & NA EE
IMPORTANT
Which one of the following points does not lie on the normal to the hyperbola, x216-y29=1 drawn at the point 8,33?
MEDIUM
NDA & NA EE
IMPORTANT
The equation of a tangent to the hyperbola 3x2-y2=3, parallel to the line y=2x+4, is
MEDIUM
NDA & NA EE
IMPORTANT
If m is the slope of a tangent to the hyperbola x2a2-b2-y2a3-b3=1, where a>b>1, then