Question Library
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What is the value of tan65° + 2tan45° – 2tan40° – tan25° ?
NDA Mathematics 2024
NDA 2024
Mathematics
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If tanα and tanβ are roots of the equation x² – 6x + 8 = 0, then what is the…
NDA Mathematics 2024
NDA 2024
Mathematics
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If f(θ) = 1 / (1 + tanθ), and α + β = 5π/4, then what is the value of…
NDA Mathematics 2024
NDA 2024
Mathematics
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In triangle ABC, AB = 16 cm, BC = 63 cm, AC = 65 cm. What is the value of…
NDA Mathematics 2024
NDA 2024
Mathematics
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Under which one of the following conditions does the equation (cosβ – 1)x² + (cosβ)x + sinβ = 0 have…
NDA Mathematics 2024
NDA 2024
Mathematics
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What is tan⁻¹(a/b) – tan⁻¹((a – b)/(a + b)) equal to?
NDA Mathematics 2024
NDA 2024
Mathematics
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What is the value of sin10° × sin50° + sin50° × sin250° + sin250° × sin10° equal to?
NDA Mathematics 2024
NDA 2024
Mathematics
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ABC is a triangle such that angle C = 60°, then what is (cos A + cos B) / cos((A…
NDA Mathematics 2024
NDA 2024
Mathematics
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What is the number of solutions of (sinθ – cosθ)² = 2 where –π < θ < π?
NDA Mathematics 2024
NDA 2024
Mathematics
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If cos⁻¹ x = sin⁻¹ x, then which one of the following is correct?
NDA Mathematics 2024
NDA 2024
Mathematics
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In triangle ABC, if sin² A + sin² B + sin² C = 3 sin A sin B sin C,…
NDA Mathematics 2024
NDA 2024
Mathematics
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What is the value of √(3008 × 10° × sin² 107°) / (sin 25° cos 25°)?
NDA Mathematics 2024
NDA 2024
Mathematics
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Let A = {1, 2, 3, 4, 5} and B = {6, 7}. What is the number of onto functions…
NDA Mathematics 2024
NDA 2024
Mathematics
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In a binomial expansion of (x + 1/x)ⁿ, the sum of middle terms is zero. What is the value of…
NDA Mathematics 2024
NDA 2024
Mathematics
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If x² + mx + n is an integer for all integral values of x, then which of the following…
NDA Mathematics 2024
NDA 2024
Mathematics
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If a, b, and c (a > 0, c > 0) are in GP, then consider the following in respect…
NDA Mathematics 2024
NDA 2024
Mathematics
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If the 4th term in the expansion of (m + 4)ⁿ is 3, then what is the value of m?
NDA Mathematics 2024
NDA 2024
Mathematics
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What is the coefficient of x¹⁰ in the expansion of (1 − x⁴)(2 − x² − 4)?
NDA Mathematics 2024
NDA 2024