1
JEE Main 2017 (Offline)
+4
-1
Out of Syllabus
A hyperbola passes through the point P$$\left( {\sqrt 2 ,\sqrt 3 } \right)$$ and has foci at $$\left( { \pm 2,0} \right)$$. Then the tangent to this hyperbola at P also passes through the point :
A
$$\left( {2\sqrt 2 ,3\sqrt 3 } \right)$$
B
$$\left( {\sqrt 3 ,\sqrt 2 } \right)$$
C
$$\left( { - \sqrt 2 , - \sqrt 3 } \right)$$
D
$$\left( {3\sqrt 2 ,2\sqrt 3 } \right)$$
2
JEE Main 2016 (Online) 10th April Morning Slot
+4
-1
A hyperbola whose transverse axis is along the major axis of the conic, $${{{x^2}} \over 3} + {{{y^2}} \over 4} = 4$$ and has vertices at the foci of this conic. If the eccentricity of the hyperbola is $${3 \over 2},$$ then which of the following points does NOT lie on it?
A
(0, 2)
B
$$\left( {\sqrt 5 ,2\sqrt 2 } \right)$$
C
$$\left( {\sqrt {10} ,2\sqrt 3 } \right)$$
D
$$\left( {5,2\sqrt 3 } \right)$$
3
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
Let a and b respectively be the semitransverse and semi-conjugate axes of a hyperbola whose eccentricity satisfies the equation 9e2 − 18e + 5 = 0. If S(5, 0) is a focus and 5x = 9 is the corresponding directrix of this hyperbola, then a2 − b2 is equal to :
A
7
B
$$-$$ 7
C
5
D
$$-$$ 5
4
JEE Main 2016 (Offline)
+4
-1
The eccentricity of the hyperbola whose length of the latus rectum is equal to $$8$$ and the length of its conjugate axis is equal to half of the distance between its foci, is :
A
$${2 \over {\sqrt 3 }}$$
B
$${\sqrt 3 }$$
C
$${{4 \over 3}}$$
D
$${4 \over {\sqrt 3 }}$$
JEE Main Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination