Question Library
Browse our collection of questions across various subjects
Mathematics
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Given that aₙ = ∫(0 to π) [sin²((n+1)x) / sin 2x] dx Consider the following statements: 1. The sequence {a₂n}…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Consider the function f(x) = |x – 1| + x² where x ∈ R. What is the area of the…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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What is [cosθ / (1 − tanθ)] − [sinθ / (1 − cotθ)] equal to?
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider the function f(x) = |x – 1| + x² where x ∈ R. What is the area of the…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Consider the function f(x) = |x – 1| + x² where x ∈ R. Which one of the following statements…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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The angles of elevation of the top of a tower standing on a horizontal plane from two points on a…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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The equation tan⁻¹(1 + x) + tan⁻¹(1 − x) = π/2 is satisfied by
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider the function f(x) = |x – 1| + x² where x ∈ R. Which one of the following statements…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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The angle of elevation of the top of a tower from a point 20 m away from its base is…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider the function f(x) = |x – 1| + x² where x ∈ R. Which one of the following statements…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Let α be the root of the equation 25cos²θ + 5cosθ − 12 = 0, where π/2 < α <…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider the functions f(x) = xg(x) and g(x) = [1/x], where [ ] is the greatest integer function. What is…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Let α be the root of the equation 25cos²θ + 5cosθ − 12 = 0, where π/2 < α <…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider the functions f(x) = xg(x) and g(x) = [1/x], where [ ] is the greatest integer function. What is…
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Consider the function f(x) = [27(x^(2/3) – x)] / 4 How many solutions does the function f(x) = -1 have?
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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In a triangle ABC, a = (1 + √3) cm, b = 2 cm and angle C = 60°. Then…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider the function f(x) = [27(x^(2/3) – x)] / 4 How many solutions does the function f(x) = 1 have?
NDA Mathematics 2016
NDA 2016
Mathematics
Easy
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Let θ be a positive angle. If the number of degrees in θ is divided by the number of radians…
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider the curves f(x) = x|x| – 1 and g(x) = {3x/2, x > 0; 2x, x ≤ 0} What…
NDA Mathematics 2016
NDA 2016