Question Library
Browse our collection of questions across various subjects
Mathematics
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Let p̅ and q̅ be the position vectors of the points P and Q respectively with respect to origin O.…
NDA Mathematics 2018
NDA 2018
Mathematics
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If a̅ and b̅ are vectors such that |a̅| = 2, |b̅| = 7 and a̅ × b̅ = 3î…
NDA Mathematics 2018
NDA 2018
Mathematics
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What is the equation to the sphere whose centre is at (2, -3, 4) and radius is 6 units?
NDA Mathematics 2018
NDA 2018
Mathematics
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What is the distance between the straight lines 3x + 4y = 9 and 6x + 8y = 15?
NDA Mathematics 2018
NDA 2018
Mathematics
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The equation of the line, when the portion of it intercepted between the axes is divided by the point (2,…
NDA Mathematics 2018
NDA 2018
Mathematics
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The perpendiculars that fall from any point of the straight line 2x + 11y = 5 upon the two straight…
NDA Mathematics 2018
NDA 2018
Mathematics
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The coordinates of the vertices P, Q and R of a triangle PQR are (–1, 1), (3, –2, 2) and…
NDA Mathematics 2018
NDA 2018
Mathematics
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A sphere of constant radius r through the origin intersects the coordinate axes in A, B and C. What is…
NDA Mathematics 2018
NDA 2018
Mathematics
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What is the equation of the plane passing through the points (–2, 6, –6), (–3, 10, –9) and (–5, 0,…
NDA Mathematics 2018
NDA 2018
Mathematics
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Let the coordinates of the points A, B, C be (1, 4), (6, 0), (–1, 4) and (2, –3, 1)…
NDA Mathematics 2018
NDA 2018
Mathematics
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What is the equation of the straight line passing through the point (2, 3) and making an intercept on the…
NDA Mathematics 2018
NDA 2018
Mathematics
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What is the equation of the ellipse whose vertices are (±5, 0) and foci are at (±4, 0)?
NDA Mathematics 2018
NDA 2018
Mathematics
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Consider the following statements : 1. The length p of the perpendicular from the origin to the line ax +…
NDA Mathematics 2018
NDA 2018
Mathematics
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What is the equation of the line passing through the point of intersection of the lines x + 2y –…
NDA Mathematics 2018
NDA 2018
Mathematics
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What is the equation of the straight line cutting off an intercept 2, from the negative direction of x-axis and…
NDA Mathematics 2018
NDA 2018
Mathematics
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What is the angle between the straight lines(m² – mn)y = (mn + n²)x + n³ and(mn + m²)y =…
NDA Mathematics 2018
NDA 2018
Mathematics
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What is the distance between the points which divide the line segment joining (4, 3) and (6, 7) internally and…
NDA Mathematics 2018
NDA 2018
Mathematics
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The maximum value ofsin(x + π/5) + cos(x + π/5), where x ∈ [0, π/2],is attained at
NDA Mathematics 2018
NDA 2018
Mathematics
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If cos α + cos β + cos γ = 0, where 0 < α ≤ π/2, 0 < β…
NDA Mathematics 2018
NDA 2018
Mathematics
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Suppose cos A is given. If only one value of cos(A/2) is possible, then A must be
NDA Mathematics 2018
NDA 2018