1
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The common chord of the circles $${x^2} + {y^2} - 4x - 4y = 0$$ and $$2{x^2} + 2{y^2} = 32$$ subtends at the origin an angle equal to
A
$${\pi \over 3}$$
B
$${\pi \over 4}$$
C
$${\pi \over 6}$$
D
$${\pi \over 2}$$
2
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The locus of the mid-points of the chords of the circle $${x^2} + {y^2} + 2x - 2y - 2 = 0$$, which make an angle of 90$$^\circ$$ at the centre is
A
$${x^2} + {y^2} - 2x - 2y = 0$$
B
$${x^2} + {y^2} - 2x + 2y = 0$$
C
$${x^2} + {y^2} + 2x - 2y = 0$$
D
$${x^2} + {y^2} + 2x - 2y-1 = 0$$
3
WB JEE 2017
MCQ (Single Correct Answer)
+2
-0.5
Change Language
If one of the diameters of the curve x2 + y2 $$-$$ 4x $$-$$ 6y + 9 = 0 is a chord of a circle with centre (1, 1), the radius of this circle is
A
3
B
2
C
$$\sqrt 2 $$
D
1
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