Question Library
Browse our collection of questions across various subjects
Mathematics
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The foci of the ellipse 4x² + 9y² = 1 are at Q and R. If P(x, y) is any…
NDA Mathematics 2024
NDA 2024
Mathematics
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The diagonals of a quadrilateral ABCD are along the linesx – 2y = 1 and 4x + 2y = 3.The…
NDA Mathematics 2024
NDA 2024
Mathematics
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How many terms are there in expansion of (3x − y)^4 (x + 3y)^4 ?
NDA Mathematics 2023
NDA 2023
Mathematics
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The vectors ā, b̄ and c̄ are of the same length. If taken pairwise, they form equal angles. If ā…
NDA Mathematics 2024
NDA 2024
Mathematics
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Let ABCDEF be a regular hexagon.If AD̄ = m BC̄ and CF̄ = n AB̄, then what is m equal…
NDA Mathematics 2024
NDA 2024
Mathematics
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If sixth term in expansion of (x^(-8/3) + x²log₁₀x)^8 is 5600, then value of x is:
NDA Mathematics 2023
NDA 2023
Mathematics
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Let θ be the angle between two unit vectors ā and b̄. If ā + 2b̄ is perpendicular to 5ā…
NDA Mathematics 2024
NDA 2024
Mathematics
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α, β are distinct real roots of x² + ax + b = 0. Which are sufficient to find α?…
NDA Mathematics 2023
NDA 2023
Mathematics
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For what value of the angle between the vectors ā and b̄ is the quantity|ā × b̄| + √3 (ā…
NDA Mathematics 2024
NDA 2024
Mathematics
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What is 3α + 2β equal to if(2î + 6ĵ + 27k̂) × (î + α ĵ + βk̂) is…
NDA Mathematics 2024
NDA 2024
Mathematics
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A mapping f(x) = (2x + 3)/(3x + 5) is onto. What are A and B?
NDA Mathematics 2023
NDA 2023
Mathematics
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LetA = [3 -3 4 2 -3 4 0 -1 1] What is A⁻¹ equal to?
NDA Mathematics 2024
NDA 2024
Mathematics
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LetA = [3 -3 4 2 -3 4 0 -1 1] What is A(adj A) equal to?
NDA Mathematics 2024
NDA 2024
Mathematics
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How many real numbers satisfy |x−4| + |x−7| = 15?
NDA Mathematics 2023
NDA 2023
Mathematics
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The roots of the quadratic equation a²(b² – c²)x² + b²(c² – a²)x + c²(a² – b²) = 0 are…
NDA Mathematics 2024
NDA 2024
Mathematics
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The roots of the quadratic equation a²(b² – c²)x² + b²(c² – a²)x + c²(a² – b²) = 0 are…
NDA Mathematics 2024
NDA 2024
Mathematics
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Let (8 + 3√7)²⁰ = U + V and (8 – 3√7)²⁰ = W, where U is an integer and…
NDA Mathematics 2024
NDA 2024
Mathematics
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Let (8 + 3√7)²⁰ = U + V and (8 – 3√7)²⁰ = W, where U is an integer and…
NDA Mathematics 2024
NDA 2024
Mathematics
Easy
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The product of 5 consecutive terms of an AP is 229635. The first, second and fifth terms are in GP.…
NDA Mathematics 2024
NDA 2024
Mathematics
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The product of 5 consecutive terms of an AP is 229635. The first, second and fifth terms are in GP.…
NDA Mathematics 2024
NDA 2024