Question Library
Browse our collection of questions across various subjects
Mathematics
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Consider the function f(x) = (1/x)^(2x²), where x > 0 At what value of x does the function attain maximum…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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The area bounded by the coordinate axes and the curve √x + √y = 1, is
NDA Mathematics 2015
NDA 2015
Mathematics
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∫ dx / (1 + e^(-x)) is equal to where c is the constant of integration
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider the following statements :Statement 1: The function f : R → R such that f(x) = x³ for all…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider the following statements : 1. f(x) = ln x is an increasing function on (0, ∞). 2. f(x) =…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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If f(x) = (sin(e^(x-2) – 1))/(ln(x – 1)), then Lim x→2 f(x) is equal to
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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If 0 < a < b, then ∫[a to b] |x|/x dx is equal to
NDA Mathematics 2015
NDA 2015
Mathematics
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If f : R → R, g : R → R be two functions given by f(x) = 2x –…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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If x^a y^b = (x – y)^(a + b), then the value of (dy/dx)(y/x) is equal to
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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The function f(x) = x²/e^x is monotonically increasing if
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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If y = cot⁻¹ ( (√(1 + sin x) + √(1 – sin x)) / (√(1 + sin x) –…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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The derivative of ln(x + sin x) with respect to (x + cos x) is
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider the following statements : 1. The function f(x) = x² + 2cos x is increasing in the interval (0,…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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The domain of the function f(x) = 1 / √(|x| – x) is
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider the following functions : 1. f(x) = { 1/x , if x ≠ 0 ; 0 , if x…
NDA Mathematics 2015
NDA 2015
Mathematics
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The function f(x) = (1 – sinx + cosx) / (1 + sinx + cosx) is not defined at x…
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider the functionf(x) = { ax – 2 , –2 < x < –1 –1 , –1 ≤ x ≤…
NDA Mathematics 2015
NDA 2015