Question Library
Browse our collection of questions across various subjects
Mathematics
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If f(x) = |ln|x|| where 0 < x < 1, then what is f′(0·5) equal to ?
NDA Mathematics 2023
NDA 2023
Mathematics
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Let f(x) = [ ax(x + 1) + b, x < 1 [ x − 1, 1 ≤ x ≤ 2 What is…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let f(x) = [ ax(x + 1) + b, x < 1 [ x − 1, 1 ≤ x ≤ 2 If the…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let I = ∫ from −2π to 2π of (sin⁴x + cos⁴x) / (1 + 3x²) dx What is I…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let I = ∫ from −2π to 2π of (sin⁴x + cos⁴x) / (1 + 3x²) dx]. What is ∫₀^π…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let f(x) = [ (x − 3)/|x − 3| + a, x < 3 a − b, x = 3 [ (x − 3)/|x…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let f(x) = [ (x − 3)/|x − 3| + a, x < 3 a − b, x = 3 [ (x − 3)/|x…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let f(x) = ⌊x⌋ and g(x) = ⌊x⌋ − 1, where ⌊ ⌋ is the greatest integer function.Let h(x) =…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let f(x) = ⌊x⌋ and g(x) = ⌊x⌋ − 1, where ⌊ ⌋ is the greatest integer function.Let h(x) =…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let f(x) = √(2 − x) + √(2 + x). What is the greatest value of the function ?
NDA Mathematics 2023
NDA 2023
Mathematics
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Let f(x) = √(2 − x) + √(2 + x). What is the domain of the function ?
NDA Mathematics 2023
NDA 2023
Mathematics
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Let f(x) = (a^x−1 + b^x−1)/2 and g(x) = x − 1. What is lim(x→1) [1 / (f(x)g(x))] equal to…
NDA Mathematics 2023
NDA 2023
Mathematics
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Let f(x) = (a^x−1 + b^x−1)/2 and g(x) = x − 1. What is lim(x→1) (f(x) − 1) / g(x)…
NDA Mathematics 2023
NDA 2023
Mathematics
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A parabola passes through (1, 2) and satisfies the differential equation dy/dx = 2y/x, x > 0, y > 0.…
NDA Mathematics 2023
NDA 2023
Mathematics
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A parabola passes through (1, 2) and satisfies the differential equation dy/dx = 2y/x, x > 0, y > 0.…
NDA Mathematics 2023
NDA 2023
Mathematics
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A function is defined by f(x) = π + sin²x. What is the period of the function ?
NDA Mathematics 2023
NDA 2023
Mathematics
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A function is defined by f(x) = π + sin²x. What is the range of the function ?
NDA Mathematics 2023
NDA 2023
Mathematics
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Given that 4x² + y² = 9. What is the maximum value of xy ?
NDA Mathematics 2023
NDA 2023
Mathematics
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Given that 4x² + y² = 9. What is the maximum value of y ?
NDA Mathematics 2023
NDA 2023
Mathematics
Easy
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A function is defined byf(x) = | x + 1 2 3 | | 2 x + 4 6 | …
NDA Mathematics 2023
NDA 2023