1
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
If the tangents drawn to the hyperbola 4y2 = x2 + 1 intersect the co-ordinate axes at the distinct points A and B then the locus of the mid point of AB is :
A
x2 $$-$$ 4y2 + 16x2y2 = 0
B
x2 $$-$$ 4y2 $$-$$ 16x2y2 = 0
C
4x2 $$-$$ y2 + 16x2y2 = 0
D
4x2 $$-$$ y2 $$-$$ 16x2y2 = 0
2
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
The locus of the point of intersection of the straight lines,

tx $$-$$ 2y $$-$$ 3t = 0

x $$-$$ 2ty + 3 = 0 (t $$\in$$ R), is :
A
an ellipse with eccentricity $${2 \over {\sqrt 5 }}$$
B
an ellipse with the length of major axis 6
C
a hyperbola with eccentricity $$\sqrt 5$$
D
a hyperbola with the length of conjugate axis 3
3
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
$$\left( {3\sqrt 2 ,2\sqrt 3 } \right)$$
4
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
$$\left( {5,2\sqrt 3 } \right)$$
JEE Main Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
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