Question Library
Browse our collection of questions across various subjects
Mathematics
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If 2tanA = 3tanB = 1, then what is tan(A – B) equal to?
NDA Mathematics 2019
NDA 2019
Mathematics
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If f: ℝ → ℝ is defined by f(x) = 4 sin x – 3 cos x + 1 is…
NDA Mathematics 2018
NDA 2018
Mathematics
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What is the maximum value of 16 sin θ – 12 sin² θ?
NDA Mathematics 2018
NDA 2018
Mathematics
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What is ∫₀^√2 [x²] dx equal to (where [.] is the greatest integer function)?
NDA Mathematics 2018
NDA 2018
Mathematics
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What is sin(α + β) − 2sinα cosβ + sin(α − β) equal to ?
NDA Mathematics 2019
NDA 2019
Mathematics
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If tanA − tanB = x and cotB − cotA = y, then what is the value of cot(A −…
NDA Mathematics 2019
NDA 2019
Mathematics
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If the angles of a triangle ABC are in AP and b : c = √3 : √2, then what…
NDA Mathematics 2019
NDA 2019
Mathematics
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What is the minimum value of (a² / cos²x) + (b² / sin²x) where a > 0 and b >…
NDA Mathematics 2019
NDA 2019
Mathematics
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If the points (x, y, −3), (2, 0, −1) and (4, 2, 3) lie on a straight line, then what…
NDA Mathematics 2019
NDA 2019
Mathematics
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If f(x) = (x² – 9)/(x² – 2x – 3), x ≠ 3 is continuous at x = 3, then…
NDA Mathematics 2018
NDA 2018
Mathematics
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A straight line passes through the point (1, 1, 1) makes an angle 60° with the positive direction of z-axis,…
NDA Mathematics 2019
NDA 2019
Mathematics
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If the line (x − 4)/1 = (y − 2)/1 = (z − k)/2 lies on the plane 2x −…
NDA Mathematics 2019
NDA 2019
Mathematics
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Three sides of a trapezium are each equal to 6 cm. Let α ∈ (0, π/2) be the angle between…
NDA Mathematics 2018
NDA 2018
Mathematics
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A point on the line (x − 1)/1 = (y − 3)/2 = (z + 2)/7 has coordinates
NDA Mathematics 2019
NDA 2019
Mathematics
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A point on a line has coordinates (p + 1, p − 3, √2p) where p is any real number.…
NDA Mathematics 2019
NDA 2019
Mathematics
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Three sides of a trapezium are each equal to 6 cm. Let α ∈ (0, π/2) be the angle between…
NDA Mathematics 2018
NDA 2018
Mathematics
Easy
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If the angle between the lines joining the end points of minor axis of the ellipse x²/a² + y²/b² =…
NDA Mathematics 2019
NDA 2019
Mathematics
Easy
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Three sides of a trapezium are each equal to 6 cm. Let α ∈ (0, π/2) be the angle between…
NDA Mathematics 2018
NDA 2018