Question Library
Browse our collection of questions across various subjects
Mathematics
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In how many ways can 6 girls be seated in 2 empty chairs ?
NDA Mathematics 2011
NDA 2011
Mathematics
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What is the value of k for which the system of equations kx + 2y = 5 and 3x +…
NDA Mathematics 2011
NDA 2011
Mathematics
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If f(x) is an even function, then what is ∫₀^π f(cos x) dx equal to ?
NDA Mathematics 2011
NDA 2011
Mathematics
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If (1 + tanθ)(1 + tanφ) = 2, then what is (θ + φ) equal to ?
NDA Mathematics 2011
NDA 2011
Mathematics
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In a GP of positive terms, any term is equal to one-third of the sum of next two terms. What…
NDA Mathematics 2011
NDA 2011
Mathematics
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If 5 and 7 are the roots of the equation |x 4 5|; |7 x 7|; |5 8 x| =…
NDA Mathematics 2011
NDA 2011
Mathematics
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What is ∫(0 to π/2) dx / (1 + 2sin²x) equal to ?
NDA Mathematics 2011
NDA 2011
Mathematics
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The largest value of (2x³ – 3x² – 12x + 5) for -2 ≤ x ≤ 2 occurs when
NDA Mathematics 2011
NDA 2011
Mathematics
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Consider the following statements in respect of the function f(x) = x³ – 1, x ∈ [-1, 1] 1. f(x)…
NDA Mathematics 2011
NDA 2011
Mathematics
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What is the value of the determinant |x+1 x+2 x+4|; |x+3 x+5 x+8|; |x+7 x+10 x+14| ?
NDA Mathematics 2011
NDA 2011
Mathematics
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What is the value of n, if P(15, n-1) : P(16, n-2) = 3 : 4 ?
NDA Mathematics 2011
NDA 2011
Mathematics
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If A = [α 0; 1 1] and B = [1 0; 2 1] such that A² = B, then…
NDA Mathematics 2011
NDA 2011
Mathematics
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What does the differential equation (y(dy/dx) + x = a), (where a is a constant) represent?
NDA Mathematics 2011
NDA 2011
Mathematics
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What is the degree of the following differential equation?
NDA Mathematics 2011
NDA 2011
Mathematics
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What is the sum of the focal distances of a point of an ellipse (x²/a² + y²/b² = 1) ?
NDA Mathematics 2011
NDA 2011
Mathematics
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If the matrix A = [α β; β α] is such that A² = I, then which one of the…
NDA Mathematics 2011
NDA 2011
Mathematics
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If A = {4n + 2 | n is a natural number} and B = {3n | n is a…
NDA Mathematics 2011
NDA 2011
Mathematics
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If A, B, C are non-empty sets such that A ∩ C = φ, then what is (A × B)…
NDA Mathematics 2011
NDA 2011
Mathematics
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The average daily income of workers of a factory including that of the owner is ₹110. However, if the income…
NDA Mathematics 2011
NDA 2011