Question Library
Browse our collection of questions across various subjects
Mathematics
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The number of real roots of the equation x² – 3|x| + 2 = 0 is
NDA Mathematics 2015
NDA 2015
Mathematics
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If A = [1 1 -1; 2 -3 4; 3 -2 3] and B = [-1 -2 -1; 6 12…
NDA Mathematics 2015
NDA 2015
Mathematics
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If z₁ and z₂ are complex numbers with |z₁| = |z₂|, then which of the following is/are correct ? 1.…
NDA Mathematics 2015
NDA 2015
Mathematics
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If A = [1 0 -2; 2 -3 4], then the matrix X for which 2X + 3Aᵗ = 0…
NDA Mathematics 2015
NDA 2015
Mathematics
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Two poles are 10 m and 20 m high. The line joining their tops makes an angle of 15° with…
NDA Mathematics 2015
NDA 2015
Mathematics
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On simplifying (sin³A + sin3A)/sinA + (cos³A – cos3A)/cosA we get
NDA Mathematics 2015
NDA 2015
Mathematics
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The value of sin²5° + sin²10° + sin²15° + … + sin²90° is
NDA Mathematics 2015
NDA 2015
Mathematics
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In the expansion of (√x + 1/(3x²))¹⁰ the value of constant term (independent of x) is
NDA Mathematics 2015
NDA 2015
Mathematics
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The number of ways in which a cricket team of 11 players be chosen out of a batch of 15…
NDA Mathematics 2015
NDA 2015
Mathematics
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If different words are formed with all the letters of the word ‘AGAIN’ and are arranged alphabetically among themselves as…
NDA Mathematics 2015
NDA 2015
Mathematics
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If the roots of the equation x² – nx + m = 0 differ by 1, then
NDA Mathematics 2015
NDA 2015
Mathematics
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The value of the infinite product (1/6²) × (1/6²) × (1/6³) × (1/6⁴) × … is
NDA Mathematics 2015
NDA 2015
Mathematics
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If A is an invertible matrix of order n and k is any positive real number, then the value of…
NDA Mathematics 2015
NDA 2015
Mathematics
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A, B, C and D are four sets such that A ∩ B = C ∩ D = ∅. Consider…
NDA Mathematics 2015
NDA 2015
Mathematics
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If A = {x ∈ R : x² + 6x – 7 < 0} and B = {x ∈ R…
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider the following statements in respect of the determinant [[cos²(α/2), sin²(α/2)], [sin²(β/2), cos²(β/2)]], where α, β are complementary angles. 1.…
NDA Mathematics 2015
NDA 2015
Mathematics
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If the value of the determinant [[a,1,1],[1,b,1],[1,1,c]] is positive, where a ≠ b ≠ c, then the value of abc
NDA Mathematics 2015
NDA 2015
Mathematics
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The matrix A = [[1, 3, 2], [1, x-1, 1], [2, 7, x-3]] will have inverse for every real number…
NDA Mathematics 2015
NDA 2015