1
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
2
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
$${1 \over 4}$$
3
JEE Main 2020 (Online) 5th September Morning Slot
+4
-1
If the co-ordinates of two points A and B
are $$\left( {\sqrt 7 ,0} \right)$$ and $$\left( { - \sqrt 7 ,0} \right)$$ respectively and
P is any point on the conic, 9x2 + 16y2 = 144, then PA + PB is equal to :
A
8
B
9
C
16
D
6
4
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
Let x = 4 be a directrix to an ellipse whose centre is at the origin and its eccentricity is $${1 \over 2}$$. If P(1, $$\beta$$), $$\beta$$ > 0 is a point on this ellipse, then the equation of the normal to it at P is :
A
4x – 3y = 2
B
8x – 2y = 5
C
7x – 4y = 1
D
4x – 2y = 1
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