Question Library
Browse our collection of questions across various subjects
Mathematics
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If the position vectors of A and B are √2 − 1 i − j and i + (√2 +…
NDA Mathematics 2021
NDA 2021
Mathematics
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Let a, b and c be three vectors such that a, b and c are coplanar. Which of the following…
NDA Mathematics 2021
NDA 2021
Mathematics
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If (a + b) is perpendicular to a and magnitude of b is twice that of a, then what is…
NDA Mathematics 2021
NDA 2021
Mathematics
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If a + 3b = 3i − j and 2a + b = i − 2j, then what is the…
NDA Mathematics 2021
NDA 2021
Mathematics
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Let a, b and c be unit vectors such that a × b is perpendicular to c. If θ is…
NDA Mathematics 2021
NDA 2021
Mathematics
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ABCDEFGH is a cuboid with base ABCD.Let A(0, 0, 0), B(12, 0, 0), C(12, 6, 0) and G(12, 6, 4)…
NDA Mathematics 2021
NDA 2021
Mathematics
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The number of spheres of radius r touching the coordinate axes is
NDA Mathematics 2021
NDA 2021
Mathematics
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The xy-plane divides the line segment joining the points (−1, 3, 4) and (2, −5, 6)
NDA Mathematics 2021
NDA 2021
Mathematics
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Consider the following statements : 1. A line in space can have infinitely many direction ratios. 2. It is possible…
NDA Mathematics 2021
NDA 2021
Mathematics
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The locus of a point P(x, y, z) which moves in such a way that z = 7 is a
NDA Mathematics 2021
NDA 2021
Mathematics
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The two ends of the latus rectum of a parabola are (−2, 4) and (−2, −4). Consider the following statements…
NDA Mathematics 2021
NDA 2021
Mathematics
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The two ends of the latus rectum of a parabola are (−2, 4) and (−2, −4). What is the maximum…
NDA Mathematics 2021
NDA 2021
Mathematics
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What is the solution of the differential equation ln(y) dy/dx = x?
NDA Mathematics 2020
NDA 2020
Mathematics
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Which one of the following is correct in respect of the graph of y = (1 – x) / (x…
NDA Mathematics 2020
NDA 2020
Mathematics
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Consider the following statements : 1. The function f(x) = ln x increases in the interval (0, ∞). 2. The…
NDA Mathematics 2020
NDA 2020
Mathematics
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What is the minimum value of 3 cos (A + π/3) where A ∈ R ?
NDA Mathematics 2020
NDA 2020
Mathematics
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The function u(x, y) = c which satisfies the differential equation x (dx – dy) + y (dy – dx)…
NDA Mathematics 2020
NDA 2020
Mathematics
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What is the derivative of tan⁻¹ x with respect to cot⁻¹ x?
NDA Mathematics 2020
NDA 2020
Mathematics
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What is lim (x → 0) (3ˣ + 3⁻ˣ – 2) / x equal to?
NDA Mathematics 2020
NDA 2020