Question Library
Browse our collection of questions across various subjects
Mathematics
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What is lim (x → π/2) (4x – 2π) / cos x equal to?
NDA Mathematics 2022
NDA 2022
Mathematics
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If f(x) = ln(x + √(1 + x²)), then which one of the following is correct?
NDA Mathematics 2022
NDA 2022
Mathematics
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If f(α) = √(sec²α – 1), then what is (f(α) + f(β)) / (1 – f(α)f(β)) equal to?
NDA Mathematics 2022
NDA 2022
Mathematics
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What is the area of the region bounded by x – |y| = 0 and x – 2 = 0?
NDA Mathematics 2022
NDA 2022
Mathematics
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What is the area of the region (in the first quadrant) bounded by y = √(1 – x²), y =…
NDA Mathematics 2022
NDA 2022
Mathematics
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What is the maximum value of 3(sin x – cos x) + 4(cos³x – sin³x)?
NDA Mathematics 2022
NDA 2022
Mathematics
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If y = (x^x)^x, then which one of the following is correct?
NDA Mathematics 2022
NDA 2022
Mathematics
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If y = x√(x² – 16)/2 – 8 ln|x + √(x² – 16)|, then what is dy/dx equal to?
NDA Mathematics 2022
NDA 2022
Mathematics
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What is ∫(cos x)^15 – (sin x)^15 / √(sin x · cos x) dx equal to?
NDA Mathematics 2022
NDA 2022
Mathematics
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What is the minimum value of the function f(x) = log₁₀(x² + 2x + 11)?
NDA Mathematics 2022
NDA 2022
Mathematics
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If f(x) = 4x + 1 and g(x) = kx + 2 such that fog(x) = gof(x), then what is…
NDA Mathematics 2022
NDA 2022
Mathematics
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Let z = [y] and y = [x] – x, where [.] is the greatest integer function. If x is…
NDA Mathematics 2022
NDA 2022
Mathematics
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The position vectors of vertices A, B and C of triangle ABC are respectivelyj + k, 3i + j +…
NDA Mathematics 2022
NDA 2022
Mathematics
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What are the values of x for which the angle between the vectors2x²i + 3xj + k and i –…
NDA Mathematics 2022
NDA 2022
Mathematics
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Let a, b and c be unit vectors lying on the same plane. What is{(3a + 2b) × (5a –…
NDA Mathematics 2022
NDA 2022
Mathematics
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Let a and b are two unit vectors such that a + 2b and 5a – 4b are perpendicular. What…
NDA Mathematics 2022
NDA 2022
Mathematics
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PQRS is a parallelogram. If PR = a and QS = b, then what is PQ equal to?
NDA Mathematics 2022
NDA 2022