Question Library
Browse our collection of questions across various subjects
Mathematics
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A function is defined byf(x) = | x + 1 2 3 | | 2 x + 4 6…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let a function f be defined on ℝ − {0} and 2f(x) + f(1/x) = x + 3. If f…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let a function f be defined on ℝ − {0} and 2f(x) + f(1/x) = x + 3. What is…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let f(x) = x2 -1 and gof(x) = x- √x +1. What is g(15) equal to ?
NDA Mathematics 2023
NDA 2023
Mathematics
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Let f(x) = x2 -1 and gof(x) = x- √x +1. Which one of the following is a possible expression…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let (1 + x) = 1 +T₁x + T₂x2 + T3x³ + … + Tx”. What is T1 + T2…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let (1 + x) = 1 +T₁x + T₂x2 + T3x³ + … + Tx”. What is 1 – T₁…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let (1 + x) = 1 +T₁x + T₂x2 + T3x³ + … + Tx”. What is T₁ + 2T₂…
NDA Mathematics 2023
NDA 2023
Mathematics
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A quadratic equation is given by (a + b)x² – (a + b + c)x + k = 0, where…
NDA Mathematics 2023
NDA 2023
Mathematics
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What is the number of common roots of equation-I and equation-II?
NDA Mathematics 2023
NDA 2023
Mathematics
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Which one of the following is a root of equation-II?
NDA Mathematics 2023
NDA 2023
Mathematics
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Consider equation-I: z³ + 2z² + 2z + 1 = 0and equation-II: z¹⁹⁸⁵ + z¹⁰⁰ + 1 = 0What are…
NDA Mathematics 2023
NDA 2023
Mathematics
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What is the sum of all the roots of the equation?
NDA Mathematics 2023
NDA 2023
Mathematics
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Consider the equation (1 – x)⁴ + (5 – x)⁴ = 82.What is the number of real roots of the…
NDA Mathematics 2023
NDA 2023
Mathematics
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If tan α = 1/7, sin β = 1/√10 ; 0 < α, β < π/2 ; then what is…
NDA Mathematics 2023
NDA 2023
Mathematics
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If tan(π cos θ) = cot(π sin θ), 0 < θ < π/2, then what is the value of 8…
NDA Mathematics 2023
NDA 2023
Mathematics
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If sec⁻¹p – cosec⁻¹q = 0, where p > 0, q > 0; then what is the value of p⁻²…
NDA Mathematics 2023
NDA 2023