1
WB JEE 2017
+1
-0.25 The line segment joining the foci of the hyperbola $${x^2} - {y^2} + 1 = 0$$ is one of the diameters of a circle. The equation of the circle is
A
$${x^2} + {y^2} = 4$$
B
$${x^2} + {y^2} = \sqrt 2$$
C
$${x^2} + {y^2} = 2$$
D
$${x^2} + {y^2} = 2\sqrt 2$$
2
WB JEE 2017
+2
-0.5 Let A($$-$$ 1, 0) and B(2, 0) be two points. A point M moves in the plane in such a way that $$\angle MBA$$ = 2$$\angle MAB$$. Then, the point M moves along
A
a straight line
B
a parabola
C
an ellipse
D
a hyperbola
3
WB JEE 2017
+2
-0.5 Tangents are drawn to the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 5} = 1$$ at the ends of both latusrectum. The area of the quadrilateral, so formed is
A
27 sq units
B
$${{13} \over 2}$$ sq units
C
$${{15} \over 4}$$ sq units
D
45 sq units
WB JEE Subjects
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
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