1
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
If the area of an equilateral triangle inscribed in the circle x2 + y2 + 10x + 12y + c = 0 is $$27\sqrt 3$$ sq units then c is equal to
A
20
B
25
C
$$-$$ 25
D
13
2
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
If a circle C passing through the point (4, 0) touches the circle x2 + y2 + 4x – 6y = 12 externally at the point (1, – 1), then the radius of C is -
A
5
B
2$$\sqrt {5}$$
C
4
D
$$\sqrt {37}$$
3
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
If the circles

x2 + y2 $$-$$ 16x $$-$$ 20y + 164 = r2

and  (x $$-$$ 4)2 + (y $$-$$ 7)2 = 36

intersect at two distinct points, then :
A
r > 11
B
0 < r < 1
C
r = 11
D
1 < r < 11
4
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
Three circles of radii a, b, c (a < b < c) touch each other externally. If they have x-axis as a common tangent, then :
A
a, b, c are in A.P.
B
$$\sqrt a ,\sqrt b ,\sqrt c$$ are in A.P
C
$${1 \over {\sqrt b }} + {1 \over {\sqrt c }}$$ = $${1 \over {\sqrt a }}$$
D
$${1 \over {\sqrt b }} = {1 \over {\sqrt a }} + {1 \over {\sqrt c }}$$
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