Question Library
Browse our collection of questions across various subjects
Mathematics
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A special dice with numbers 1, -1, 2, -2, 0 and 3 is thrown thrice. What is the probability that…
NDA Mathematics 2016
NDA 2016
Mathematics
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If ∫ from 0 to π/3 dx / (3 cos x + 5) = k cot^-1 2, then what is…
NDA Mathematics 2016
NDA 2016
Mathematics
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What is ∫ (e^(sin x) cos^3 x – sin x / cos^2 x) dx equal to?
NDA Mathematics 2016
NDA 2016
Mathematics
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Which one of the following differential equations represents the family of straight lines which are at unit distance from the…
NDA Mathematics 2016
NDA 2016
Mathematics
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What is the order of the differential equation (dx/dy) √(y dx) = x^3 ?
NDA Mathematics 2016
NDA 2016
Mathematics
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If x dy = y dx + y^2 dy, y > 0 and y(1) = 1, then what is y(-3)…
NDA Mathematics 2016
NDA 2016
Mathematics
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What is the curve which passes through the point (1,1) and whose slope is 2y/3x ?
NDA Mathematics 2016
NDA 2016
Mathematics
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What are the degree and order respectively of the differential equation satisfyinge^(y”) – x^2 (y’)^2 – y^2 = c e^x…
NDA Mathematics 2016
NDA 2016
Mathematics
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What is ∫ (√(x^4 – 1) / (x^2 √(x^2 + 1))) dx equal to?
NDA Mathematics 2016
NDA 2016
Mathematics
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Let f(x) be a function such that∫ from -1 to 1 (t/x)^2 + x^2 f(x) = 0. What is ∫…
NDA Mathematics 2016
NDA 2016
Mathematics
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Let f(x) = { –2, –3 ≤ x ≤ 0 –x – 2, 0 < x ≤ 3 }and g(x) =…
NDA Mathematics 2016
NDA 2016
Mathematics
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Let f(x) = { –2, –3 ≤ x ≤ 0 –x – 2, 0 < x ≤ 3 }and g(x) =…
NDA Mathematics 2016
NDA 2016
Mathematics
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Let f(x) = { –2, –3 ≤ x ≤ 0 –x – 2, 0 < x ≤ 3 }and g(x) =…
NDA Mathematics 2016
NDA 2016
Mathematics
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Consider the parabola y = x² + 7x + 2 and the straight line y = 3x – 3. What…
NDA Mathematics 2016
NDA 2016
Mathematics
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Consider the parabola y = x² + 7x + 2 and the straight line y = 3x – 3. What…
NDA Mathematics 2016
NDA 2016
Mathematics
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Let f(x) = { (e^x – 1)/x, x > 0 0, x = 0 }be a real valued function. Which of the following…
NDA Mathematics 2016
NDA 2016
Mathematics
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Let f(x) = { (e^x – 1)/x, x > 0 0, x = 0 }be a real valued function. Which one of the…
NDA Mathematics 2016
NDA 2016
Mathematics
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Let f(x) = [x], where [·] is the greatest integer function and g(x) = sin x be two real valued…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Let f(x) = [x], where [·] is the greatest integer function and g(x) = sin x be two real valued…
NDA Mathematics 2016
NDA 2016