1
JEE Main 2016 (Offline)
+4
-1
The centres of those circles which touch the circle, $${x^2} + {y^2} - 8x - 8y - 4 = 0$$, externally and also touch the $$x$$-axis, lie on:
A
a circle
B
an ellipse which is not a circle
C
a hyperbola
D
a parabola
2
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
$$5\sqrt 3$$
3
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
4
JEE Main 2015 (Offline)
+4
-1
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
$$2$$
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