1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the angle between the lines joining the end points of minor axis of the ellipse $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$ with one of the its foci is $${\pi \over 2}$$, then what is the eccentricity of the ellipse?
A
$${1 \over 2}$$
B
$${1 \over {\sqrt 2 }}$$
C
$${{\sqrt 3 } \over 2}$$
D
$${1 \over {2\sqrt 2 }}$$
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The sum of the focal distances of a point on an ellipse is constant and equal to
A
length of minor axis
B
length of major axis
C
length of latusrectum
D
sum of the lengths of semi major and semi minor axes
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The equation $$2{x^2} - 3{y^2} - 6 = 0$$ represents
A
a circle
B
a parabola
C
an ellipse
D
a hyperbola
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The two parabolas y2 = 4ax and x2 = 4ay intersect
A
at two points on the line y = x
B
only at the origin
C
at three points one of which lies on y + x = 0
D
only at (4a, 4a)
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