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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 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider a circle passing through the origin and the points (a, b) and ($$-$$b, $$-$$a).
What is the sum of the squares of the intercepts cut-off by the circle on the axes?
A
$${\left( {{{{a^2} + {b^2}} \over {{a^2} - {b^2}}}} \right)^2}$$
B
$$2{\left( {{{{a^2} + {b^2}} \over {a - b}}} \right)^2}$$
C
$$4{\left( {{{{a^2} + {b^2}} \over {a - b}}} \right)^2}$$
D
None of these
2
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The equation of the circle which passes through the points (1, 0), (0, $$-$$6) and (3, 4) is
A
$$4{x^2} + 4{y^2} + 142x + 47y + 140 = 0$$
B
$$4{x^2} + 4{y^2} - 142x - 47y + 138 = 0$$
C
$$4{x^2} + 4{y^2} - 142x + 47y + 138 = 0$$
D
$$4{x^2} + 4{y^2} + 150x - 49y + 138 = 0$$
3
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The two circles x2 + y2 = r2 and x2 + y2 $$-$$ 10x + 16 = 0 intersect at two distinct points. Then which one of the following is correct?
A
2 < r < 8
B
r = 2 or r = 8
C
r < 2
D
r > 2
4
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the equation of the circle which passes through the points (3, $$-$$2) and ($$-$$2, 0) and having its centre on the line 2x $$-$$ y $$-$$ 3 = 0 ?
A
x2 + y2 + 3x + 2 = 0
B
x2 + y2 + 3x + 12y + 2 = 0
C
x2 + y2 + 2x = 0
D
x2 + y2 = 5
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Questions Asked from Marks 2.5
NDA Mathematics 1st September 2024 (3) NDA Mathematics 21 April 2024 (3) NDA Mathematics 3 September 2023 (2) NDA Mathematics 16 April 2023 (2) NDA Mathematics 4 September 2022 (2) NDA Mathematics 10 April 2022 (1) NDA Mathematics 14 November 2021 (2) NDA Mathematics 18 April 2021 (2)
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