Question Library
Browse our collection of questions across various subjects
Mathematics
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Consider the following statements for f(x) = e^{–|x|} : 1. The function is continuous at x = 0. 2. The…
NDA Mathematics 2020
NDA 2020
Mathematics
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What is the value of k such that integration of (3x² + 8 – 4k) / x with respect to…
NDA Mathematics 2020
NDA 2020
Mathematics
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What is the minimum value of |x – 1|, where x ∈ R?
NDA Mathematics 2020
NDA 2020
Mathematics
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If f(x) = 2x – x², then what is the value of f(x + 2) + f(x – 2) when…
NDA Mathematics 2020
NDA 2020
Mathematics
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What is the area of the region enclosed between the curve y² = 2x and the straight line y =…
NDA Mathematics 2020
NDA 2020
Mathematics
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What is the domain of the function f(x) = cos⁻¹(x – 2)?
NDA Mathematics 2020
NDA 2020
Mathematics
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The solution of the differential equation dy = (1 + y²) dx is
NDA Mathematics 2020
NDA 2020
Mathematics
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If f(x) = sin x / x, where x ∈ B, is to be continuous at x = 0, then…
NDA Mathematics 2020
NDA 2020
Mathematics
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Let y = 3x² + 2. If x changes from 10 to 10⁻¹, then what is the total change in…
NDA Mathematics 2020
NDA 2020
Mathematics
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What is the value of ∫₀^{π/4} (tan³x + tan x) dx ?
NDA Mathematics 2020
NDA 2020
Mathematics
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If p(x) = (4e)ˣ², then what is ∫ p(x) dx equal to?
NDA Mathematics 2020
NDA 2020
Mathematics
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If eᶿ = c + 4θφ, where c is an arbitrary constant and φ is a function of θ, then…
NDA Mathematics 2020
NDA 2020
Mathematics
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If f(x) = 3x² – 5x + p and f(0) and f(1) are opposite in sign, then which of the…
NDA Mathematics 2020
NDA 2020
Mathematics
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What islim (x → 0) [sin x log(1 − x)/x²] equal to?
NDA Mathematics 2020
NDA 2020
Mathematics
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The order and degree of the differential equationk (dy/dx) = ∫[1 + (dy/dx)²]³ᐟ² dxare respectively
NDA Mathematics 2020
NDA 2020
Mathematics
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Iflim (x → 1) (x⁴ − 1)/(x − 1) = lim (x → k) (x³ − k³)/(x² − k²),where k…
NDA Mathematics 2020
NDA 2020
Mathematics
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The radius of a circle is increasing at the rate of 0·7 cm/sec. What is the rate of increase of…
NDA Mathematics 2020
NDA 2020