Question Library
Browse our collection of questions across various subjects
General Ability
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This question consists of a sentence with an underlined/bold word/words followed by four options. Select the option that is nearest in…
NDA General Ability 2017
NDA 2017
Mathematics
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The equation of the plane passing through the line of intersection of the planes x + y + z =…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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A variable plane passes through a fixed point (a, b, c) and cuts the axes in A, B and C…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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The equation of the circle which passes through the points (1, 0), (0, -6) and (3, 4) is
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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The equation of the ellipse whose centre is at origin, major axis is along x-axis with eccentricity 3/4 and latus…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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The equation of the line passing through the point (2, 3) and the point of intersection of lines 2x –…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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The equation of a straight line which cuts off an intercept of 5 units on negative direction of y-axis and…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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The position of the point (1, 2) relative to the ellipse 2x² + 7y² = 20 is
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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If the angle between the lines whose direction ratios are (2, -1, 2) and (x, 3, 5) is π/4, then…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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The point of intersection of the line joining the points (-3, 4, -8) and (5, -6, 4) with the XY-plane…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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If the vectors ai + j + k, i + bj + k and i + j + ck (a,…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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The distance of the point (1, 3) from the line 2x + 3y = 6, measured parallel to the line…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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A man running round a racecourse notes that the sum of the distances of two flag-posts from him is always…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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For any vector a⃗|a⃗ × i⃗|² + |a⃗ × j⃗|² + |a⃗ × k⃗|² is equal to
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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A force F⃗ = i⃗ + 3j⃗ + 2k⃗ acts on a particle to displace it from the point A(i⃗…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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If a⃗ and b⃗ are two unit vectors, then the vector (a⃗ + b⃗) × (a⃗ × b⃗) is parallel…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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Let a⃗ = i⃗ + 2j⃗ – k⃗, b⃗ = 2i⃗ – j⃗ + 3k⃗ and γ⃗ = 2i⃗ +…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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The angle between the lines x + y – 3 = 0 and x – y + 3 = 0…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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If α, β and γ are the angles which the vector OP (O being the origin) makes with positive direction…
NDA Mathematics 2017
NDA 2017
Mathematics
Easy
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The length of the normal from origin to the plane x + 2y – 2z = 9 is equal to
NDA Mathematics 2017
NDA 2017