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 2018 (Online) 15th April Morning Slot
+4
-1
Two parabolas with a common vertex and with axes along x-axis and $$y$$-axis, respectively intersect each other in the first quadrant. If the length of the latus rectum of each parabola is $$3$$, then the equation of the common tangent to the two parabolas is :
A
4(x + y) + 3 = 0
B
3(x + y) + 4 = 0
C
8(2x + y) + 3 = 0
D
x + 2y + 3 = 0
3
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
The eccentricity of an ellipse having centre at the origin, axes along the co-ordinate axes and passing through the points (4, −1) and (−2, 2) is :
A
$${1 \over 2}$$
B
$${2 \over {\sqrt 5 }}$$
C
$${{\sqrt 3 } \over 2}$$
D
$${{\sqrt 3 } \over 4}$$
4
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
If y = mx + c is the normal at a point on the parabola y2 = 8x whose focal distance is 8 units, then $$\left| c \right|$$ is equal to :
A
$$2\sqrt 3$$
B
$$8\sqrt 3$$
C
$$10\sqrt 3$$
D
$$16\sqrt 3$$
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