1
WB JEE 2022
MCQ (More than One Correct Answer)
+2
-0

Chords of an ellipse are drawn through the positive end of the minor axis. Their midpoint lies on

A
a circle
B
a parabola
C
an ellipse
D
a hyperbola
2
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 $${x^2} + {y^2} = 25$$
3
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
$${1 \over {2{x^2}}} + {1 \over {4{y^2}}} = 1$$
4
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
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