EASY
JEE Main
IMPORTANT
Earn 100

The equation of a tangent to the hyperbola, parallel to the line is
(a)
(b)
(c)
(d)

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Important Questions on Hyperbola
MEDIUM
JEE Main
IMPORTANT
Let where Then represents:

EASY
JEE Main
IMPORTANT
Let be the point of intersection of the common tangents to the parabola and the hyperbola . If and denote the foci of the hyperbola where lies on the positive -axis then divides in a ratio:

EASY
JEE Main
IMPORTANT
If the vertices of a hyperbola be at and and one of its foci be at , then which one of the following points does not lie on this hyperbola ?

MEDIUM
JEE Main
IMPORTANT
Tangents are drawn to the hyperbola at the points and . If these tangents intersect at the point then the area (in sq. units) of is:

HARD
JEE Main
IMPORTANT
If the tangent drawn to the hyperbola intersect the co-ordinates axes at the distinct points and , then the locus of the midpoint of is :

MEDIUM
JEE Main
IMPORTANT
A hyperbola passes through the point and has foci at . Then the tangent to this hyperbola at also passes through the point

MEDIUM
JEE Main
IMPORTANT
The locus of the point of intersection of the straight lines, and is:

MEDIUM
JEE Main
IMPORTANT
Let and respectively be the semi-transverse and semi-conjugate axes of a standard hyperbola whose eccentricity satisfies the equation . If is a focus and is the corresponding directrix of this hyperbola, then is equal to
