1
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
Out of Syllabus
Let L1 be a tangent to the parabola y2 = 4(x + 1)
and L2 be a tangent to the parabola y2 = 8(x + 2)
such that L1 and L2 intersect at right angles. Then L1 and L2 meet on the straight line :
A
x + 3 = 0
B
x + 2y = 0
C
x + 2 = 0
D
2x + 1 = 0
2
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
$${1 \over 4}$$
3
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
$$4\sqrt 5$$
4
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 = $${1 \over 4}$$
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