Question Library
Browse our collection of questions across various subjects
Mathematics
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What is the length of one of the diagonals of the cuboid? A point P(1, 2, 3) is one vertex…
NDA Mathematics 2015
NDA 2015
Mathematics
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What is the equation of the plane ABC? A triangular plane ABC with centroid (1, 2, 3) cuts the coordinate…
NDA Mathematics 2015
NDA 2015
Mathematics
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What are the intercepts made by the plane ABC on the axes? A triangular plane ABC with centroid (1, 2,…
NDA Mathematics 2015
NDA 2015
Mathematics
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What is the length of the line segment PQ? From the point P(3, -1, 11), a perpendicular is drawn on…
NDA Mathematics 2015
NDA 2015
Mathematics
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What are the direction ratios of the line segment PQ? From the point P(3, -1, 11), a perpendicular is drawn…
NDA Mathematics 2015
NDA 2015
Mathematics
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The projections of a directed line segment on the coordinate axes are 12, 4, 3 respectively. What are the direction…
NDA Mathematics 2015
NDA 2015
Mathematics
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The projections of a directed line segment on the coordinate axes are 12, 4, 3 respectively. What is the length…
NDA Mathematics 2015
NDA 2015
Mathematics
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The equation of the line joining the origin to the point of intersection of the lines x/a + y/b =…
NDA Mathematics 2015
NDA 2015
Mathematics
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The length of perpendicular from the origin to a line is 5 units and the line makes an angle 120°…
NDA Mathematics 2015
NDA 2015
Mathematics
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The area of a triangle, whose vertices are (3, 4), (5, 2) and the point of intersection of the lines…
NDA Mathematics 2015
NDA 2015
Mathematics
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The perpendicular distance between the straight lines 6x + 8y + 15 = 0 and 3x + 4y + 9…
NDA Mathematics 2015
NDA 2015
Mathematics
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The hyperbola x²/a² − y²/b² = 1 passes through the point (3√5, 1) and the length of its latus rectum…
NDA Mathematics 2015
NDA 2015
Mathematics
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A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y-intercept is
NDA Mathematics 2015
NDA 2015
Mathematics
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The point on the parabola y² = 4ax nearest to the focus has its abscissa
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider the triangle ABC with vertices A(-2, 3), B(2, 1) and C(1, 2). What is the foot of the altitude…
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider the triangle ABC with vertices A(-2, 3), B(2, 1) and C(1, 2). What is the centroid of the triangle…
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider the triangle ABC with vertices A(-2, 3), B(2, 1) and C(1, 2) What is the circumcentre of the triangle…
NDA Mathematics 2015
NDA 2015
Mathematics
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Consider x = tan⁻¹(1/5), y = tan⁻¹(1/70) and z = tan⁻¹(1/99) What is x − y + z equal to?
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider x = tan⁻¹(1/5), y = tan⁻¹(1/70) and z = tan⁻¹(1/99) What is x − y equal to?
NDA Mathematics 2015
NDA 2015
Mathematics
Easy
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Consider x = tan⁻¹(1/5), y = tan⁻¹(1/70) and z = tan⁻¹(1/99) What is x equal to?
NDA Mathematics 2015
NDA 2015