Question Library
Browse our collection of questions across various subjects
Mathematics
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The points (a, b), (0, 0), (-a, -b) and (ab, b²) are
NDA Mathematics 2017
NDA 2017
Mathematics
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The principal value of sin⁻¹x lies in the interval
NDA Mathematics 2017
NDA 2017
Mathematics
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In triangle ABC, if (sin²A + sin²B + sin²C) / (cos²A + cos²B + cos²C) = 2 then the triangle…
NDA Mathematics 2017
NDA 2017
Mathematics
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√(1 + sin A) = -(sin(A/2) + cos(A/2)) is true if
NDA Mathematics 2017
NDA 2017
Mathematics
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In a triangle ABC, a – 2b + c = 0. The value of cot(A/2) cot(C/2) is
NDA Mathematics 2017
NDA 2017
Mathematics
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The angles of elevation of the top of a tower from the top and foot of a pole are respectively…
NDA Mathematics 2017
NDA 2017
Mathematics
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The value of sin⁻¹(3/5) + tan⁻¹(1/7) is equal to
NDA Mathematics 2017
NDA 2017
Mathematics
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Angle α is divided into two parts A and B such that A – B = x and tan A…
NDA Mathematics 2017
NDA 2017
Mathematics
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The value of tan 9° – tan 27° – tan 63° + tan 81° is equal to
NDA Mathematics 2017
NDA 2017
Mathematics
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The angle of elevation of a stationary cloud from a point 25 m above a lake is 15° and the…
NDA Mathematics 2017
NDA 2017
Mathematics
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If |z – 4/z| = 2, then the maximum value of |z| is equal to
NDA Mathematics 2017
NDA 2017
Mathematics
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In △PQR, ∠R = π/2. If tan(P/2) and tan(Q/2) are the roots of the equation ax² + bx + c…
NDA Mathematics 2017
NDA 2017
Mathematics
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If 1.3 + 2.3² + 3.3³ + … + n.3ⁿ = (2n-1)3ⁿ + b / 4 then a and b…
NDA Mathematics 2017
NDA 2017
Mathematics
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The system of equations kx + y + z = 1, x + ky + z = k and x…
NDA Mathematics 2017
NDA 2017
Mathematics
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A tea party is arranged for 16 people along two sides of a long table with eight chairs on each…
NDA Mathematics 2017
NDA 2017
Mathematics
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The value of1/log₃e + 1/log₃e² + 1/log₃e⁴ + … up to infinite terms is
NDA Mathematics 2017
NDA 2017
Mathematics
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If α and β are the roots of the equation 3x² + 2x + 1 = 0, then the equation…
NDA Mathematics 2017
NDA 2017
Mathematics
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If y = x + x² + x³ + … up to infinite terms where x < 1, then which…
NDA Mathematics 2017
NDA 2017
Mathematics
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If we define a relation R on the set N × N as (a,b) R (c,d) ⇔ a+d = b+c…
NDA Mathematics 2017
NDA 2017