1
JEE Main 2019 (Online) 11th January Morning Slot
+4
-1
Out of Syllabus
Equation of a common tangent to the parabola y2 = 4x and the hyperbola xy = 2 is :
A
x + y + 1 = 0
B
4x + 2y + 1 = 0
C
x – 2y + 4 = 0
D
x + 2y + 4 = 0
2
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
Out of Syllabus
The equation of a tangent to the hyperbola 4x2 – 5y2 = 20 parallel to the line x – y = 2 is :
A
x $$-$$ y + 9 = 0
B
x $$-$$ y $$-$$ 3 = 0
C
x $$-$$ y + 1 = 0
D
x $$-$$ y + 7 = 0
3
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
A hyperbola has its centre at the origin, passes through the point (4, 2) and has transverse axis of length 4 along the x-axis. Then the eccentricity of the hyperbola is :
A
$${3 \over 2}$$
B
$$\sqrt 3$$
C
2
D
$${2 \over {\sqrt 3 }}$$
4
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
Let $$0 < \theta < {\pi \over 2}$$. If the eccentricity of the

hyperbola $${{{x^2}} \over {{{\cos }^2}\theta }} - {{{y^2}} \over {{{\sin }^2}\theta }}$$ = 1 is greater

than 2, then the length of its latus rectum lies in the interval :
A
(3, $$\infty$$)
B
$$\left( {{3 \over 2},2} \right]$$
C
$$\left( {1,{3 \over 2}} \right]$$
D
$$\left( {2,3} \right]$$
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