1
JEE Main 2020 (Online) 6th September Morning Slot
+4
-1
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) 6th September Morning Slot
+4
-1
Which of the following points lies on the locus of the foot of perpedicular drawn upon any tangent to the ellipse,
$${{{x^2}} \over 4} + {{{y^2}} \over 2} = 1$$
from any of its foci?
A
$$\left( { - 1,\sqrt 3 } \right)$$
B
$$\left( { - 2,\sqrt 3 } \right)$$
C
$$\left( { - 1,\sqrt 2 } \right)$$
D
$$\left( {1,2 } \right)$$
3
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
If the line y = mx + c is a common tangent to the hyperbola
$${{{x^2}} \over {100}} - {{{y^2}} \over {64}} = 1$$ and the circle x2 + y2 = 36, then which one of the following is true?
A
5m = 4
B
8m + 5 = 0
C
c2 = 369
D
4c2 = 369
4
JEE Main 2020 (Online) 5th September Morning Slot
+4
-1
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
$${1 \over 4}$$
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