Question Library
Browse our collection of questions across various subjects
Mathematics
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If f(9) = 9 and f′(9) = 4 then what is lim (x→9) (√f(x) − 3) / (√x − 3)…
NDA Mathematics 2014
NDA 2014
Mathematics
Easy
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Consider the function f(x) = (1 – sin x) / (π – 2x)² where x ≠ π/2 and f(π/2) =…
NDA Mathematics 2014
NDA 2014
Mathematics
Easy
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Consider the function f(x) = (1 – sin x) / (π – 2x)² where x ≠ π/2 and f(π/2) =…
NDA Mathematics 2014
NDA 2014
Mathematics
Easy
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Consider the integrals I1 = ∫(from π/6 to π/3) [ dx / (1 + √(tan x)) ] and I2 =…
NDA Mathematics 2014
NDA 2014
Mathematics
Easy
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Consider the integrals I1 = ∫(from π/6 to π/3) [ dx / (1 + √(tan x)) ] and I2 =…
NDA Mathematics 2014
NDA 2014
Mathematics
Easy
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Consider an ellipse x²/a² + y²/b² = 1. What is the area included between the ellipse and the greatest…
NDA Mathematics 2014
NDA 2014
Mathematics
Easy
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Consider an ellipse x²/a² + y²/b² = 1. What is the area of the greatest rectangle that can be…
NDA Mathematics 2014
NDA 2014
Mathematics
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Consider the curve y = e^(2x). Where does the tangent to the curve at (0, 1) meet the x-axis?
NDA Mathematics 2014
NDA 2014
Mathematics
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Consider the curve y = e^(2x). What is the slope of the tangent to the curve at (0, 1)?
NDA Mathematics 2014
NDA 2014
Mathematics
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What is the solution of dy/dx + 2y = 1 satisfying y(0) = 0?
NDA Mathematics 2014
NDA 2014
Mathematics
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What is the slope of the tangent to the curve y = sin⁻¹(sin²x) at x = 0?
NDA Mathematics 2014
NDA 2014
Mathematics
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What is the derivative of √[(1 + cos x) / (1 – cos x)]?
NDA Mathematics 2014
NDA 2014
Mathematics
Easy
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A line passes through the points (6, -7, -1) and (2, -3, 1). What are the direction ratios of…
NDA Mathematics 2014
NDA 2014
Mathematics
Easy
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Let |a| = 7, |b| = 11, |a + b| = 10√3. What is the angle between (a +…
NDA Mathematics 2014
NDA 2014
Mathematics
Easy
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Let |a| = 7, |b| = 11, |a + b| = 10√3. What is |a – b| equal to?
NDA Mathematics 2014
NDA 2014