1
JEE Main 2014 (Offline)
+4
-1
Let $$C$$ be the circle with centre at $$(1, 1)$$ and radius $$=$$ $$1$$. If $$T$$ is the circle centred at $$(0, y)$$, passing through origin and touching the circle $$C$$ externally, then the radius of $$T$$ is equal to
A
$${1 \over 2}$$
B
$${1 \over 4}$$
C
$${{\sqrt 3 } \over {\sqrt 2 }}$$
D
$${{\sqrt 3 } \over 2}$$
2
JEE Main 2013 (Offline)
+4
-1
The circle passing through $$(1, -2)$$ and touching the axis of $$x$$ at $$(3, 0)$$ also passes through the point
A
$$\left( { - 5,\,2} \right)$$
B
$$\left( { 2,\,-5} \right)$$
C
$$\left( { 5,\,-2} \right)$$
D
$$\left( { - 2,\,5} \right)$$
3
AIEEE 2012
+4
-1
The length of the diameter of the circle which touches the $$x$$-axis at the point $$(1, 0)$$ and passes through the point $$(2, 3)$$ is:
A
$${{10} \over 3}$$
B
$${{3} \over 5}$$
C
$${{6} \over 5}$$
D
$${{5} \over 3}$$
4
AIEEE 2011
+4
-1
The two circles x2 + y2 = ax, and x2 + y2 = c2 (c > 0) touch each other if
A
| a | = c
B
a = 2c
C
| a | = 2c
D
2 | a | = c
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