1
JEE Main 2016 (Offline)
+4
-1
If one of the diameters of the circle, given by the equation, $${x^2} + {y^2} - 4x + 6y - 12 = 0,$$ is a chord of a circle $$S$$, whose centre is at $$(-3, 2)$$, then the radius of $$S$$ is :
A
$$5$$
B
$$10$$
C
$$5\sqrt 2$$
D
$$5\sqrt 3$$
2
JEE Main 2015 (Offline)
+4
-1
Locus of the image of the point $$(2, 3)$$ in the line $$\left( {2x - 3y + 4} \right) + k\left( {x - 2y + 3} \right) = 0,\,k \in R,$$ is a :
A
circle of radius $$\sqrt 2$$.
B
circle of radius $$\sqrt 3$$.
C
straight line parallel to $$x$$-axis
D
straight line parallel to $$y$$-axis
3
JEE Main 2015 (Offline)
+4
-1
Out of Syllabus
The number of common tangents to the circles $${x^2} + {y^2} - 4x - 6x - 12 = 0$$ and $${x^2} + {y^2} + 6x + 18y + 26 = 0,$$ is :
A
$$3$$
B
$$4$$
C
$$1$$
D
$$2$$
4
JEE Main 2014 (Offline)
+4
-1
Out of Syllabus
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
$${{\sqrt 3 } \over 2}$$
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