Question Library
Browse our collection of questions across various subjects
Mathematics
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An equilateral triangle has one vertex at (−1, −1) and another vertex at (−√3, √3). The third vertex may lie…
NDA Mathematics 2019
NDA 2019
Mathematics
Easy
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What is the distance between the points P(m cos2α, m sin2α) and Q(m cos2β, m sin2β) ?
NDA Mathematics 2019
NDA 2019
Mathematics
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What is the angle between the lines xcosα + ysinα = a and xsinβ − ycosβ = a ?
NDA Mathematics 2019
NDA 2019
Mathematics
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The equation ax + by + c = 0 represents a straight line
NDA Mathematics 2019
NDA 2019
Mathematics
Easy
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If a and b are unit vectors and θ is the angle between them, then what is sin²(θ/2) equal to…
NDA Mathematics 2019
NDA 2019
Mathematics
Easy
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Consider the following statements : 1. The magnitude of a × b is same as the area of a triangle…
NDA Mathematics 2019
NDA 2019
Mathematics
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Consider the following equations for two vectors a and b: 1. (a + b) · (a − b) = |a|²…
NDA Mathematics 2019
NDA 2019
Mathematics
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If the magnitude of the sum of two non-zero vectors is equal to the magnitude of their difference, then which…
NDA Mathematics 2019
NDA 2019
Mathematics
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What is the scalar projection of a = i − 2j + k on b = 4i − 4j +…
NDA Mathematics 2019
NDA 2019
Mathematics
Easy
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What is the area of the region bounded by the parabolas y² = 6(x − 1) and y² = 3x?
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
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Consider the function f(x) = x² ln|x|, x ≠ 0; 0, x = 0. What is f '(0) equal to?
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
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What is the length of the chord of a unit circle which subtends an angle θ at the centre?
NDA Mathematics 2019
NDA 2019
Mathematics
Easy
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If f(x) = |x| + |x − 1|, then which one of the following is correct?
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
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A ladder 9 m long reaches a point 9 m below the top of a vertical flagstaff. From the foot…
NDA Mathematics 2019
NDA 2019
Mathematics
Easy
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Suppose f : ℝ → ℝ is defined by f(x) = x² / (1 + x²). What is the range…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
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Which one of the following is correct in respect of the function f : ℝ → ℝ⁺ defined as f(x)…
NDA Mathematics 2018
NDA 2018
Mathematics
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If the vectors k̅ and A̅ are parallel to each other, then what is k̅ × A̅ equal to?
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
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If a̅ + 2b̅ + 3c̅ = 0̅ and a̅ × b̅ = b̅ × c̅ = c̅ × a̅…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
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What is the moment about the point î + 2ĵ − k̂ of a force represented by 3î + k̂…
NDA Mathematics 2018
NDA 2018