1
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

The circles $${x^2} + {y^2} + 6x + 6y = 0$$ and $${x^2} + {y^2} - 12x - 12y = 0$$

A
cut orthogonally
B
touch each other internally
C
intersect in two points
D
touch each other externally
2
WB JEE 2008
MCQ (Single Correct Answer)
+1
-0.25

The locus of the centres of the circles which touch both the axes is given by

A
$${x^2} - {y^2} = 0$$
B
$${x^2} + {y^2} = 0$$
C
$${x^2} - {y^2} = 1$$
D
$${x^2} + {y^2} = 1$$
3
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

The equation of the chord of he circle $${x^2} + {y^2} - 4x = 0$$ whose midpoint is (1, 0) is

A
y = 2
B
y = 1
C
x = 2
D
x = 1
4
WB JEE 2009
MCQ (Single Correct Answer)
+1
-0.25

The circles x2 + y2 $$-$$ 10x + 16 = 0 and x2 + y2 = a2 intersect at two distinct points if

A
a < 2
B
2 < a < 8
C
a > 8
D
a = 2
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