Question Library
Browse our collection of questions across various subjects
Mathematics
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Consider the following statements in respect of any relation R on a set A : 1.If R is reflexive, then…
NDA Mathematics 2022
NDA 2022
Mathematics
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Consider the following statements in respect of the relation R in the set IN of natural numbers defined by xRy…
NDA Mathematics 2022
NDA 2022
Mathematics
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Consider the following statements in respect of two non-empty sets A and B : 1.A ∪ B = A ∩…
NDA Mathematics 2022
NDA 2022
Mathematics
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Consider the following statements in respect of two non-empty sets A and B : 1.x ∈ (A ∪ B) ⇒…
NDA Mathematics 2022
NDA 2022
Mathematics
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Consider all the subsets of the set A = {1, 2, 3, 4}. How many of them are supersets of…
NDA Mathematics 2022
NDA 2022
Mathematics
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What is the value of sin 0° + sin 10° + sin 20° + sin 30° + … + sin…
NDA Mathematics 2022
NDA 2022
Mathematics
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If (1 + tan θ)(1 + tan 9θ) = 2, then what is the value of tan (10θ) ?
NDA Mathematics 2022
NDA 2022
Mathematics
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If tan α + tan β = 1 – tan α·tan β, where tan α·tan β ≠ 1, then which…
NDA Mathematics 2022
NDA 2022
Mathematics
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If 3sin^(-1) x + cos^(-1) x = π, then what is x equal to ?
NDA Mathematics 2022
NDA 2022
Mathematics
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If tan (π/2) + tan^(-1) (x/3) = π/4, where 0 < x < 6, then what is x equal to…
NDA Mathematics 2022
NDA 2022
Mathematics
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The shadow of a tower becomes x metre longer, when the angle of elevation of sun changes from 60° to…
NDA Mathematics 2022
NDA 2022
Mathematics
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A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff of height h. At a…
NDA Mathematics 2022
NDA 2022
Mathematics
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What is sin^2(π/4 + θ) – sin^2(π/4 – θ) equal to ?
NDA Mathematics 2022
NDA 2022
Mathematics
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If tan θ = -5/12, then what can be the value of sin θ ?
NDA Mathematics 2022
NDA 2022
Mathematics
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Let sin 2θ = cos 3θ, where θ is acute angle. What is the value of 1 + 4 sin…
NDA Mathematics 2022
NDA 2022
Mathematics
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If tan(45° + θ) = 1 + sin 2θ, where -π/4 < θ < π/4, then what is the value…
NDA Mathematics 2022
NDA 2022
Mathematics
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If α + β = π/4 and 2 tan α = 1, then what is tan 2β equal to ?
NDA Mathematics 2022
NDA 2022
Mathematics
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In a triangle ABC, sin A – cos B – cos C = 0. What is angle B equal to…
NDA Mathematics 2022
NDA 2022