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1
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the equation of the ellipse having foci ($$\pm$$2, 0) and the eccentricity $${1 \over 4}$$ ?
A
$${{{x^2}} \over {64}} + {{{y^2}} \over {60}} = 1$$
B
$${{{x^2}} \over {60}} + {{{y^2}} \over {64}} = 1$$
C
$${{{x^2}} \over {20}} + {{{y^2}} \over {24}} = 1$$
D
$${{{x^2}} \over {24}} + {{{y^2}} \over {20}} = 1$$
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The second degree equation $${x^2} + 4{y^2} - 2x - 4y + 2 = 0$$ represents
A
a point
B
an ellipse of semi-major axis 1
C
an ellipse with eccentricity $${{\sqrt 3 } \over 2}$$
D
None of the above
3
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the equation of the ellipse whose vertices are ($$\pm$$ 5, 0) and foci are at ($$\pm$$ 4, 0) ?
A
$${{{x^2}} \over {25}} + {{{y^2}} \over 9} = 1$$
B
$${{{x^2}} \over {16}} + {{{y^2}} \over 9} = 1$$
C
$${{{x^2}} \over {25}} + {{{y^2}} \over 16} = 1$$
D
$${{{x^2}} \over {9}} + {{{y^2}} \over 25} = 1$$
4
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
$${1 \over {2\sqrt 2 }}$$
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