Question Library
Browse our collection of questions across various subjects
Mathematics
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What is the area bounded by y = [x], the x-axis and the lines x = -1.5 and x =…
NDA Mathematics 2021
NDA 2021
Mathematics
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If the function f(x) = x^2 – kx is monotonically increasing in the interval (1, ∞), then which one is…
NDA Mathematics 2021
NDA 2021
Mathematics
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If ∫-2 to 2 f(x) dx = k, then ∫0 to 2 f(x) dx is
NDA Mathematics 2021
NDA 2021
Mathematics
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If f(x) = 2^x, then what is ∫2 to 10 [f'(x)/f(x)] dx equal to?
NDA Mathematics 2021
NDA 2021
Mathematics
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What is the condition that f(x) = x^3 + x^2 + kx has no local extremum?
NDA Mathematics 2021
NDA 2021
Mathematics
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What is the derivative of e^(e^x) with respect to e^x?
NDA Mathematics 2021
NDA 2021
Mathematics
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What is the maximum area of a rectangle that can be inscribed in a circle of radius 2 units?
NDA Mathematics 2021
NDA 2021
Mathematics
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Consider the following statements in respect of the function f(x) = x + 1/x : 1. The local maximum value…
NDA Mathematics 2021
NDA 2021
Mathematics
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Where does the tangent to the curve y = e^x at the point (0, 1) meet x-axis?
NDA Mathematics 2021
NDA 2021
Mathematics
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What is the differential equation of y = A − B/x ?
NDA Mathematics 2021
NDA 2021
Mathematics
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What is the degree of the differential equation of all circles touching both the coordinate axes in the first quadrant?
NDA Mathematics 2021
NDA 2021
Mathematics
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What is the order of the differential equation of all ellipses whose axes are along the coordinate axes?
NDA Mathematics 2021
NDA 2021
Mathematics
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If ∫√(1 − sin 2x) dx = A sin x + B cos x + C, where 0 < x…
NDA Mathematics 2021
NDA 2021
Mathematics
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If ∑xᵢ = 20, ∑xᵢ² = 200 and n = 10 for an observed variable x, then what is the…
NDA Mathematics 2020
NDA 2020
Mathematics
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If f(x) satisfies f(1) = f(4), then what is ∫₁⁴ f′(x) dx equal to?
NDA Mathematics 2021
NDA 2021
Mathematics
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What is the standard deviation of the observations √6, –√5, –√4, –1, 1, √4, √5, √6 ?
NDA Mathematics 2020
NDA 2020
Mathematics
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Consider the following statements in respect of the function f(x) = x² + 1 in the interval (1, 2): 1.…
NDA Mathematics 2021
NDA 2021