1
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
$$\sqrt {37}$$
2
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
3
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
$${1 \over {\sqrt b }} = {1 \over {\sqrt a }} + {1 \over {\sqrt c }}$$
4
JEE Main 2018 (Online) 16th April Morning Slot
+4
-1
If a circle C, whose radius is 3, touches externally the circle,
$${x^2} + {y^2} + 2x - 4y - 4 = 0$$ at the point (2, 2), then the length of the intercept cut by this circle C, on the x-axis is equal to :
A
$$2\sqrt 5$$
B
$$3\sqrt 2$$
C
$$\sqrt 5$$
D
$$2\sqrt 3$$
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