1
WB JEE 2022
MCQ (More than One Correct Answer)
+2
-0 The line y = x + 5 touches

A
the parabola y2 = 20 x
B
the ellipse $$9{x^2} + 16{y^2} = 144$$
C
the hyperbola $${{{x^2}} \over {29}} - {{{y^2}} \over 4} = 1$$
D
the circle $${x^2} + {y^2} = 25$$
2
WB JEE 2020
MCQ (More than One Correct Answer)
+2
-0 Consider a tangent to the ellipse $${{{x^2}} \over 2} + {{{y^2}} \over 1} = 1$$ at any point. The locus of the mid-point of the portion intercepted between the axes is
A
$${{{x^2}} \over 2} + {{{y^2}} \over 4} = 1$$
B
$${{{x^2}} \over 4} + {{{y^2}} \over 2} = 1$$
C
$${1 \over {3{x^2}}} + {1 \over {4{y^2}}} = 1$$
D
$${1 \over {2{x^2}}} + {1 \over {4{y^2}}} = 1$$
3
WB JEE 2019
MCQ (More than One Correct Answer)
+2
-0 Equation of a tangent to the hyperbola 5x2 $$-$$ y2 = 5 and which passes through an external point (2, 8) is
A
3x $$-$$ y + 2 = 0
B
3x + y $$-$$ 14 = 0
C
23x $$-$$ 3y $$-$$ 22 = 0
D
3x $$-$$ 23y + 178 = 0
4
WB JEE 2018
MCQ (More than One Correct Answer)
+2
-0 A hyperbola, having the transverse axis of length 2sin$$\theta$$ is confocal wit6h the ellipse 3x2 + 4y2 = 12. Its equation is
A
x2sin2$$\theta$$ $$-$$ y2cos2$$\theta$$ = 1
B
x2cosec2$$\theta$$ $$-$$ y2sec2$$\theta$$ = 1
C
(x2 + y2)sin2$$\theta$$ = 1 + y2
D
x2cosec2$$\theta$$ = x2 + y2 + sin2$$\theta$$
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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