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Algebra
Sets, Relations and Functions
MCQ (Single Correct Answer)
Logarithms
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Quadratic Equations and Inequalities
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Sequence And Series
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Binomial Theorem
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Matrices
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Determinants
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Permutations and Combinations
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Probability
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Complex Numbers
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Vector Algebra
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Three Dimensional Geometry
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Statistics
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Trigonometry
Trigonometric Angles and Equations
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Inverse Trigonometric Function
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Height and Distance
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Properties of Triangles
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Coordinate Geometry
Coordinate System and Straight Line
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Circle
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Parabola
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Ellipse
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Hyperbola
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Conic Section
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Calculus
Functions
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Limit, Continuity and Differentiability
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Differentiation
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Application of Derivatives
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Indefinite Integration
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Definite Integration
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Area Under The Curves
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Differential Equations
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1
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The equation of the ellipse whose centre is at origin, major axis is along X-axis with eccentricity $${3 \over 4}$$ and latusrectum 4 units is
A
$${{{x^2}} \over {1024}} + {{7{y^2}} \over {64}} = 1$$
B
$${{49{x^2}} \over {1024}} + {{7{y^2}} \over {64}} = 1$$
C
$${{7{x^2}} \over {1024}} + {{49{y^2}} \over {64}} = 1$$
D
$${{{x^2}} \over {1024}} + {{{y^2}} \over {64}} = 1$$
2
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
$${{{x^2}} \over {24}} + {{{y^2}} \over {20}} = 1$$
3
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
4
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
$${{{x^2}} \over {9}} + {{{y^2}} \over 25} = 1$$
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Questions Asked from Marks 2.5
NDA Mathematics 18 April 2021 (1)
NDA Subjects
Mathematics
Algebra
Sets, Relations and FunctionsLogarithmsQuadratic Equations and InequalitiesSequence And SeriesBinomial TheoremMatricesDeterminantsPermutations and CombinationsProbabilityComplex NumbersVector AlgebraThree Dimensional GeometryStatistics
Trigonometry
Trigonometric Angles and EquationsInverse Trigonometric FunctionHeight and DistanceProperties of Triangles
Coordinate Geometry
Coordinate System and Straight LineCircleParabolaEllipseHyperbolaConic Section
Calculus
FunctionsLimit, Continuity and DifferentiabilityDifferentiationApplication of DerivativesIndefinite IntegrationDefinite IntegrationArea Under The CurvesDifferential Equations
English
General Science
General Studies