Question Library
Browse our collection of questions across various subjects
Mathematics
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Consider ∫ (x tan⁻¹x dx) = A(x² + 1) tan⁻¹x + Bx + C, where C is the constant of…
NDA Mathematics 2014
NDA 2014
Mathematics
Easy
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Consider ∫ (x tan⁻¹x dx) = A(x² + 1) tan⁻¹x + Bx + C, where C is the constant of…
NDA Mathematics 2014
NDA 2014
Mathematics
Easy
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Consider I = ∫₀^π (x dx) / (1 + sin x) What is ∫₀^π (dx) / (1 + sin x)…
NDA Mathematics 2014
NDA 2014
Mathematics
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Consider I = ∫₀^π (x dx) / (1 + sin x) What is ∫₀^π ((x – π) dx) / (1…
NDA Mathematics 2014
NDA 2014
Mathematics
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Consider I = ∫₀^π (x dx) / (1 + sin x) What is I equal to ?
NDA Mathematics 2014
NDA 2014
Mathematics
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What is lim (1 + 2 + 3 + … + n) / (1² + 2² + 3² + ……
NDA Mathematics 2014
NDA 2014
Mathematics
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If y = x ln x + xe^x, then what is the value of dy/dx at x = 1 ?
NDA Mathematics 2014
NDA 2014
Mathematics
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What is the area of the parabola y² = 4bx bounded by its latus rectum ?
NDA Mathematics 2014
NDA 2014
Mathematics
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Consider the curve x = a(cos θ + θ sin θ) and y = a(sin θ – θ cos θ).…
NDA Mathematics 2014
NDA 2014
Mathematics
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Consider the curve x = a(cos θ + θ sin θ) and y = a(sin θ – θ cos θ).…
NDA Mathematics 2014
NDA 2014
Mathematics
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Consider the following statements : 1.The function f(x) = [x], where [.] is the greatest integer function defined on R,…
NDA Mathematics 2014
NDA 2014
Mathematics
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Consider the functionf(x) = { (tan kx)/x , x < 03x + 2k² , x ≥ 0 What is the…
NDA Mathematics 2014
NDA 2014
Mathematics
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The line 2y = 3x + 12 cuts the parabola 4y = 3x². What is the area enclosed by the…
NDA Mathematics 2014
NDA 2014
Mathematics
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The line 2y = 3x + 12 cuts the parabola 4y = 3x². What is the area enclosed by the…
NDA Mathematics 2014
NDA 2014
Mathematics
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The line 2y = 3x + 12 cuts the parabola 4y = 3x². Where does the line cut the parabola…
NDA Mathematics 2014
NDA 2014
Mathematics
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Consider the function f(x) = { x² – 5, x ≤ 3 √(x + 13), x > 3 What is…
NDA Mathematics 2014
NDA 2014
Mathematics
Easy
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Consider the function f(x) = { x² – 5, x ≤ 3 √(x + 13), x > 3 Consider the…
NDA Mathematics 2014
NDA 2014
Mathematics
Easy
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Consider the function f(x) = { x² – 5, x ≤ 3 √(x + 13), x > 3 What is…
NDA Mathematics 2014
NDA 2014