1
JEE Main 2020 (Online) 5th September Morning Slot
+4
-1
Out of Syllabus
If the common tangent to the parabolas,
y2 = 4x and x2 = 4y also touches the circle, x2 + y2 = c2,
then c is equal to :
A
$${1 \over {\sqrt 2 }}$$
B
$${1 \over {2\sqrt 2 }}$$
C
$${1 \over 2}$$
D
$${1 \over 4}$$
2
JEE Main 2020 (Online) 3rd September Evening Slot
+4
-1
Let the latus ractum of the parabola y2 = 4x be the common chord to the circles C1 and C2 each of them having radius 2$$\sqrt 5$$. Then, the distance between the centres of the circles C1 and C2 is :
A
8
B
12
C
$$8\sqrt 5$$
D
$$4\sqrt 5$$
3
JEE Main 2020 (Online) 3rd September Morning Slot
+4
-1
Let P be a point on the parabola, y2 = 12x and N be the foot of the perpendicular drawn from P on the axis of the parabola. A line is now drawn through the mid-point M of PN, parallel to its axis which meets the parabola at Q. If the y-intercept of the line NQ is $${4 \over 3}$$, then :
A
MQ = $${1 \over 3}$$
B
PN = 4
C
PN = 3
D
MQ = $${1 \over 4}$$
4
JEE Main 2020 (Online) 2nd September Evening Slot
+4
-1
The area (in sq. units) of an equilateral triangle inscribed in the parabola y2 = 8x, with one of its vertices on the vertex of this parabola, is :
A
$$256\sqrt 3$$
B
$$64\sqrt 3$$
C
$$128\sqrt 3$$
D
$$192\sqrt 3$$
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