Question Library
Browse our collection of questions across various subjects
Mathematics
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If |a| = 3, |b| = 4 and |a – b| = 5, then what is the value of |a…
NDA Mathematics 2018
NDA 2018
Mathematics
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A unit vector perpendicular to each of the vectors 2i – j + k and 3i – 4j – k…
NDA Mathematics 2018
NDA 2018
Mathematics
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If r = xi + yj + zk, then what is r ⋅ (i + j + k) equal to…
NDA Mathematics 2018
NDA 2018
Mathematics
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Let |a| ≠ 0, |b| ≠ 0.Then a × (b × a) = |a|² b – |a|² b holds if…
NDA Mathematics 2018
NDA 2018
Mathematics
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If y-axis touches the circlex² + y² + gx + fy + c = 0, then the normal at this…
NDA Mathematics 2018
NDA 2018
Mathematics
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What is the area of the triangle with vertices (x₁, 1/x₁), (x₂, 1/x₂), (x₃, 1/x₃) ?
NDA Mathematics 2018
NDA 2018
Mathematics
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Consider the following statements :Statement I : If the line segment joining the points P (m, n) and Q (r,…
NDA Mathematics 2018
NDA 2018
Mathematics
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Consider the following statements : 1.The angle between the planes2x – y + z = 1 and x + y…
NDA Mathematics 2018
NDA 2018
Mathematics
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The line (x–1)/2 = (y–2)/–3 = (z–3)/5 is given by
NDA Mathematics 2018
NDA 2018
Mathematics
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Coordinates of the points O, P, Q and R are respectively (0,0,0), (4,6,2m), (2,0,2n) and (2,4,6). Let L, M, N…
NDA Mathematics 2018
NDA 2018
Mathematics
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What is the distance of the point (2, 3, 4) from the plane 3x – 6y + 2z + 11…
NDA Mathematics 2018
NDA 2018
Mathematics
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What is the equation of straight line passing through the point of intersection of the lines x/2 + y/3 =…
NDA Mathematics 2018
NDA 2018
Mathematics
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Consider the following statements: 1. The distance between the lines y = mx + c1 and y = mx +…
NDA Mathematics 2018
NDA 2018
Mathematics
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The angle between the two lines lx+my+n=0 and l′x+m′y+n′=0 is given by tan^–1θ. What is θ equal to?
NDA Mathematics 2018
NDA 2018
Mathematics
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The second degree equation x^2 + 4y^2 – 2x – 4y + 2 = 0 represents
NDA Mathematics 2018
NDA 2018
Mathematics
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The equation of a circle whose end points of a diameter are (x1, y1) and (x2, y2) is
NDA Mathematics 2018
NDA 2018
Mathematics
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If A = sin^2θ + cos^4θ, then for all real θ, which one of the following is correct?
NDA Mathematics 2018
NDA 2018
Mathematics
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The ratio of roots of the equations ax^2 + bx + c = 0 and px^2 + qx + r…
NDA Mathematics 2018
NDA 2018
Mathematics
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What is the sum of all three-digit numbers that can be formed using all the digits 3, 4 and 5,…
NDA Mathematics 2018
NDA 2018
Mathematics
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If a, b, c are in AP or GP or HP, then (a–b)/(b–c) is equal to
NDA Mathematics 2018
NDA 2018