Question Library
Browse our collection of questions across various subjects
Mathematics
Easy
View
If a vertex of a triangle is (1, 1) and the midpoints of two sides of the triangle through this…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
If sec θ – cosec θ = 4/3, then what is (sin θ – cos θ) equal to?
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
Consider the following for triangle ABC: 1.sin(B + C) = cos(A/2) 2.tan((B + C)/2) = cot(A/2) 3.sin(B + C) =…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
If tan(α + β) = 2 and tan(α – β) = 1, then tan(2α) is equal to
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
Let x, y, z be positive real numbers such that x, y, z are in GP and tan⁻¹ x, tan⁻¹…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
If sinθ = 3sin(θ + 2x), then the value of tan(θ + α) + 2 tanα is equal to
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
The expression (sinα + sinβ)/(cosα + cosβ) is equal to
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
If K = sin(π/18) sin(5π/18) sin(7π/18), then what is the value of K?
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
The maximum value of sin(x + π/6) + cos(x + π/6) in the interval (0, π/2) is attained at
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
The value of [C(7, 0) + C(7, 1)] + [C(7, 1) + C(7, 2)] + … + [C(7, 6) +…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
The sum of the roots of the equation ax² + bx + c = 0 (where a and c are…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
The sum of the roots of the equation x² + bx + c = 0 (where b and c are…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
If cot α and cot β are the roots of the equation x² + bx + c = 0 with…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
If |z + 4| ≤ 3, then the maximum value of |z + 1| is
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
From the top of a lighthouse, 100 m high, the angle of depression of a boat is tan⁻¹(5/12). What is…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
View
If sin A = 3/5, where 450° < A < 540°, then cos(A/2) is equal to
NDA Mathematics 2017
NDA 2017