Question Library
Browse our collection of questions across various subjects
Mathematics
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If f(x) = √(25 – x²), then what isLim (x → 1) (f(x) – f(1)) / (x – 1) equal…
NDA Mathematics 2015
NDA 2015
Mathematics
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The value of ∫ᵃᵇ (xʳ + sinx / cosx) dx where a + b = 0 is
NDA Mathematics 2015
NDA 2015
Mathematics
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The vectors a̅, b̅, c̅ and d̅ are such that a̅ × b̅ = c̅ × d̅ and a̅ ×…
NDA Mathematics 2015
NDA 2015
Mathematics
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If the vectors αi̅ + αj̅ + γk̅ , i̅ + k̅ and γi̅ + γj̅ + βk̅ lie on…
NDA Mathematics 2015
NDA 2015
Mathematics
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If the magnitude of difference of two unit vectors is √3, then the magnitude of sum of the two vectors…
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider the following inequalities in respect of vectors a̅ and b̅ : 1. |a̅ + b̅| ≤ |a̅| + |b̅|…
NDA Mathematics 2015
NDA 2015
Mathematics
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If |a| = 2 and |b| = 3, then |a × b|² + |a · b|² is equal to
NDA Mathematics 2015
NDA 2015
Mathematics
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If the position vector a of the point (5, n) is such that |a| = 13, then the value/values of…
NDA Mathematics 2015
NDA 2015
Mathematics
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If b and c are the position vectors of the points B and C respectively, then the position vector of…
NDA Mathematics 2015
NDA 2015
Mathematics
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ABCD is a parallelogram and P is the point of intersection of the diagonals. If O is the origin, then…
NDA Mathematics 2015
NDA 2015
Mathematics
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The area of the square, one of whose diagonals is 3i + 4j is
NDA Mathematics 2015
NDA 2015
Mathematics
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The lengths of the intercepts on the co-ordinate axes made by the plane 5x + 2y + z – 13…
NDA Mathematics 2015
NDA 2015
Mathematics
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What are the co-ordinates of the foot of the perpendicular drawn from the point (3, 5, 4) on the plane…
NDA Mathematics 2015
NDA 2015
Mathematics
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The direction ratios of the line perpendicular to the lines with direction ratios <1, -2, -2> and <0, 2, 1>…
NDA Mathematics 2015
NDA 2015
Mathematics
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The radius of the sphere 3x² + 3y² + 3z² – 8x + 4y + 8z – 15 = 0…
NDA Mathematics 2015
NDA 2015
Mathematics
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Two straight lines passing through the point A(3, 2) cut the line 2y = x + 3 and x-axis perpendicularly…
NDA Mathematics 2015
NDA 2015
Mathematics
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If the centre of the circle passing through the origin is (3, 4), then the intercepts cut off by the…
NDA Mathematics 2015
NDA 2015
Mathematics
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The product of the perpendiculars from the two points (±4, 0) to the line 3x cos ϕ + 5y sin…
NDA Mathematics 2015
NDA 2015
General Ability
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In this question there has a sentence with three underlined parts labelled (a), (b) and (c). Read each sentence to find…
NDA General Ability 2015
NDA 2015