1
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
$${1 \over {\sqrt b }} = {1 \over {\sqrt a }} + {1 \over {\sqrt c }}$$
2
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
$$2\sqrt 3$$
3
JEE Main 2018 (Offline)
+4
-1
If the tangent at (1, 7) to the curve x2 = y - 6

touches the circle x2 + y2 + 16x + 12y + c = 0, then the value of c is :
A
95
B
195
C
185
D
85
4
JEE Main 2018 (Offline)
+4
-1
Let the orthocentre and centroid of a triangle be A(-3, 5) and B(3, 3) respectively. If C is the circumcentre of this triangle, then the radius of the circle having line segment AC as diameter, is :
A
$${{3\sqrt 5 } \over 2}$$
B
$$\sqrt {10}$$
C
$$2\sqrt {10}$$
D
$$3\sqrt {{5 \over 2}}$$
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