Algebra
Sets, Relations and Functions
MCQ (Single Correct Answer)
Quadratic Equations and Inequalities
MCQ (Single Correct Answer)
Sequence And Series
MCQ (Single Correct Answer)
Permutations and Combinations
MCQ (Single Correct Answer)
Three Dimensional Geometry
MCQ (Single Correct Answer)
Trigonometry
Trigonometric Angles and Equations
MCQ (Single Correct Answer)
Inverse Trigonometric Function
MCQ (Single Correct Answer)
Height and Distance
MCQ (Single Correct Answer)
Properties of Triangles
MCQ (Single Correct Answer)
Calculus
Limit, Continuity and Differentiability
MCQ (Single Correct Answer)
Application of Derivatives
MCQ (Single Correct Answer)
Indefinite Integration
MCQ (Single Correct Answer)
Definite Integration
MCQ (Single Correct Answer)
Area Under The Curves
MCQ (Single Correct Answer)
Differential Equations
MCQ (Single Correct Answer)
1
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
$${{{x^2}} \over {9}} + {{{y^2}} \over 25} = 1$$
2
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
$${1 \over {2\sqrt 2 }}$$
3
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
4
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
Questions Asked from Marks 2.5