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)
+1
-0.25
Change Language
Let P be the foot of the perpendicular from focus S of hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$ on the line bx $$-$$ ay = 0 and let C be the centre of the hyperbola. Then, the area of the rectangle whose sides are equal to that of SP and CP is
A
2ab
B
ab
C
$${{({a^2} + {b^2})} \over 2}$$
D
$${a \over b}$$
4
WB JEE 2017
MCQ (Single Correct Answer)
+1
-0.25
Change Language
B is an extremity of the minor axis of an ellipse whose foci are S and S'. If $$\angle SBS'$$ is a right angle, then the eccentricity of the ellipse is
A
$${1 \over 2}$$
B
$${1 \over {\sqrt 2 }}$$
C
$${2 \over 3}$$
D
$${1 \over 3}$$
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