Question Library
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Mathematics
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If A = [ 2sinθ cosθ 0 ] [-2cosθ sinθ 0 ] [-1 1 1 ] what is A(adjA) equal…
NDA Mathematics 2022
NDA 2022
Mathematics
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Consider the following in respect of the matrices: A = [m n], B = [−n −m], and C = […
NDA Mathematics 2022
NDA 2022
Mathematics
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Under which of the following conditions does the determinant | a b c | | b c a | |…
NDA Mathematics 2022
NDA 2022
Mathematics
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If (a − b)(b − c)(c − a) = 2 and abc = 6, then what is the value of…
NDA Mathematics 2022
NDA 2022
Mathematics
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The centre of an ellipse is at (0, 0), major axis is on the y-axis. If the ellipse passes through…
NDA Mathematics 2022
NDA 2022
Mathematics
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The centre of the circle passing through origin and making positive intercepts 4 and 6 on the coordinate axes, lies…
NDA Mathematics 2022
NDA 2022
Mathematics
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The base AB of an equilateral triangle ABC with side 8 cm lies along the y-axis such that the mid-point…
NDA Mathematics 2022
NDA 2022
Mathematics
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If P(3, 4) is the mid-point of a line segment between the axes, then what is the equation of the…
NDA Mathematics 2022
NDA 2022
Mathematics
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Consider the following statements in respect of the line passing through origin and inclining at an angle of 75° with…
NDA Mathematics 2022
NDA 2022
Mathematics
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If 1 + 2(sin x + cos x)(sin x − cos x) = 0 where 0 < x < 360°,…
NDA Mathematics 2022
NDA 2022
Mathematics
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What is the value of sin(2nπ + 5π/6) × sin(2nπ − 5π/6), where n ∈ ℤ?
NDA Mathematics 2022
NDA 2022
Mathematics
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If sec x = 25/24 and x lies in the fourth quadrant, what is tan x + sin x?
NDA Mathematics 2022
NDA 2022
Mathematics
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In triangle ABC, a = 4, b = 3, c = 2. What is cos3C equal to?
NDA Mathematics 2022
NDA 2022
Mathematics
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What is the value of[cos(5π/17) + cos(7π/17) + cos(11π/17)cos(π/17)] / [2cos(11π/17)cos(π/17)]?
NDA Mathematics 2022
NDA 2022