1
WB JEE 2018
+1
-0.25
A chord AB is drawn from the point A(0, 3) on the circle x2 + 4x + (y $$-$$ 3)2 = 0, and is extended to M such that AM = 2AB. The locus of M is
A
x2 + y2 $$-$$ 8x $$-$$ 6y + 9 = 0
B
x2 + y2 + 8x + 6y + 9 = 0
C
x2 + y2 + 8x $$-$$ 6y + 9 = 0
D
x2 + y2 $$-$$ 8x + 6y + 9 = 0
2
WB JEE 2018
+2
-0.5
Let A be the centre of the circle $${x^2} + {y^2} - 2x - 4y - 20 = 0$$. Let B(1, 7) and D(4, $$-$$2) be two points on the circle such that tangents at B and D meet at C. The area of the quadrilateral ABCD is
A
150 sq units
B
50 sq units
C
75 sq units
D
70 sq units
3
WB JEE 2017
+1
-0.25
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
$${\pi \over 2}$$
4
WB JEE 2017
+1
-0.25
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
$${x^2} + {y^2} + 2x - 2y-1 = 0$$
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