Question Library
Browse our collection of questions across various subjects
Mathematics
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In which one of the following intervals is the function f(x) = x² – 5x + 6 decreasing ?
NDA Mathematics 2018
NDA 2018
Mathematics
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What is ∫[-1 to 1] d/dx (tan⁻¹(1/x)) dx equal to ?
NDA Mathematics 2018
NDA 2018
Mathematics
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What is ∫[a to b] ⌊x⌋ dx + ∫[a to b] ⌈–x⌉ dx equal to, where ⌊.⌋ is the greatest…
NDA Mathematics 2018
NDA 2018
Mathematics
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A function f : A → R is defined by the equation f(x) = x² – 4x + 5 where…
NDA Mathematics 2018
NDA 2018
Mathematics
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Which one of the following is correct in respect of the function f(x) = x sin x + cos x…
NDA Mathematics 2018
NDA 2018
Mathematics
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If y = tan⁻¹((5 – 2tan√x)/(2 + 5tan√x)), then what is dy/dx equal to ?
NDA Mathematics 2018
NDA 2018
Mathematics
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If f(x) = √(25 – x²), then what is lim (f(x) – f(1))/(x – 1) ?
NDA Mathematics 2018
NDA 2018
Mathematics
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If the function f(x) = (2x – sin⁻¹x)/(2x + tan⁻¹x) is continuous at each point in its domain, then what…
NDA Mathematics 2018
NDA 2018
Mathematics
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For the function f(x) = |x – 3|, which one of the following is not correct ?
NDA Mathematics 2018
NDA 2018
Mathematics
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Consider the functionf(x) = { sin 2x / 5x if x ≠ 0 1/5 if x = 0Which one of the following…
NDA Mathematics 2018
NDA 2018
Mathematics
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If f(x) = √(x – 1)/(x – 4) defines a function on R, then what is its domain ?
NDA Mathematics 2018
NDA 2018
Mathematics
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Let the slope of the curve y = cos⁻¹(sin x) be tan θ. Then the value of θ in the…
NDA Mathematics 2018
NDA 2018
Mathematics
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In a triangle ABC, if taken in order, consider the following statements : 1. AB̅ + BC̅ + CA̅ =…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
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A spacecraft located at î + 2ĵ + 3k̂ is subjected to a force λk̂ by firing a rocket. The…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
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Let a̅, b̅ and c̅ be three mutually perpendicular vectors each of unit magnitude.If A̅ = a̅ + b̅ +…
NDA Mathematics 2018
NDA 2018