Question Library
Browse our collection of questions across various subjects
Mathematics
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The function f(x) = k sin x + (1/3) sin 3x has maximum value at x = π/3. What is…
NDA Mathematics 2011
NDA 2011
Mathematics
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Consider the following with regard to a relation R on a set of real numbers defined by xRy if and…
NDA Mathematics 2011
NDA 2011
Mathematics
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What is the condition that one root of the equation ax² + bx + c = 0, a ≠ 0…
NDA Mathematics 2011
NDA 2011
Mathematics
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Which one of the following is correct in respect of the function f(x) = |x| + x² ?
NDA Mathematics 2011
NDA 2011
Mathematics
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5 books are to be chosen from a lot of 10 books. If m is the number of ways of…
NDA Mathematics 2011
NDA 2011
Mathematics
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What is log(a + √(a² + 1)) + log(1/(a + √(a² + 1))) equal to ?
NDA Mathematics 2011
NDA 2011
Mathematics
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If sin(sin⁻¹(1/5) + cos⁻¹x) = 1 then what is x equal to ?
NDA Mathematics 2011
NDA 2011
Mathematics
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What is the sine of angle between the vectors i + 2j + 3k and –i + 2j + 3k…
NDA Mathematics 2011
NDA 2011
Mathematics
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The points with position vectors 10i + 3j, 12i – 5j, ai + 11j are collinear, if the value of…
NDA Mathematics 2011
NDA 2011
Mathematics
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If A, B, C are in AP and b : c = √3 : √2, then what is the value…
NDA Mathematics 2011
NDA 2011
Mathematics
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If the solution of the differential equation dy/dx = (ax + 3)/(2y + f) represents a circle, then what is…
NDA Mathematics 2011
NDA 2011
Mathematics
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One of the roots of the quadratic equation ax² + bx + c = 0, a ≠ 0 is positive…
NDA Mathematics 2011
NDA 2011
Mathematics
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What is the total number of combinations of n different things taken 1, 2, 3, …, n at a time…
NDA Mathematics 2011
NDA 2011
Mathematics
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What is the sum of the roots of the equation (2 – √3)x² – (7 – 4√3)x + (2 +…
NDA Mathematics 2011
NDA 2011
Mathematics
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What is the middle term in the expansion of (1 – x/2)⁸ ?
NDA Mathematics 2011
NDA 2011
Mathematics
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If 1/(b – a) + 1/(b – c) = 1/a + 1/c then a, b, c are in
NDA Mathematics 2011
NDA 2011
Mathematics
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In the binary system of numbers let a = 00111 and b = 01110, then in decimal system what is…
NDA Mathematics 2011
NDA 2011
Mathematics
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What is the number of ordered pairs of non-zero positive integers (x, y) such that x + y ≤ 4…
NDA Mathematics 2011
NDA 2011
Mathematics
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Which term of the series 1/4, –1/2, 1, … is –128 ?
NDA Mathematics 2011
NDA 2011
Mathematics
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What is the value of log₁₀(9/8) – log₁₀(27/32) + log₁₀(3/4) ?
NDA Mathematics 2011
NDA 2011