Question Library
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Mathematics
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The eccentricity e of an ellipse satisfies the condition :
NDA Mathematics 2012
NDA 2012
Mathematics
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The sum of the focal distances of a point on the ellipse x²/4 + y²/9 = 1 is :
NDA Mathematics 2012
NDA 2012
Mathematics
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The line y = 0 divides the line joining the points (3,-5) and (-4,7) in the ratio :
NDA Mathematics 2012
NDA 2012
Mathematics
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What is the value of λ if the straight line (2x + 3y + 4) + λ(6x – y +…
NDA Mathematics 2012
NDA 2012
Mathematics
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From the point (4,3) a perpendicular is dropped on the x-axis as well as on the y-axis. If the lengths…
NDA Mathematics 2012
NDA 2012
Mathematics
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Let p, q, r, s be the distances from origin of the points (2,6), (3,4), (4,5) and (-2,5) respectively. Which…
NDA Mathematics 2012
NDA 2012
Mathematics
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What is the perpendicular distance between the parallel lines 3x + 4y = 9 and 9x + 12y + 28…
NDA Mathematics 2012
NDA 2012
Mathematics
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The equation to the locus of a point which is always equidistant from the points (1,0) and (0,-2) is :
NDA Mathematics 2012
NDA 2012
Mathematics
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The locus of a point equidistant from three collinear points is :
NDA Mathematics 2012
NDA 2012
Mathematics
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From the top of a lighthouse 70 m high with its base at sea level, the angle of depression of…
NDA Mathematics 2012
NDA 2012
Mathematics
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The top of a hill observed from the top and bottom of a building of height h is at angles…
NDA Mathematics 2012
NDA 2012
Mathematics
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If sin A = 2/√5 and cos B = 1/√10 where A and B are acute angles, then what is…
NDA Mathematics 2012
NDA 2012
Mathematics
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The angle subtended at the centre of a circle of radius 3 cm by an arc of length 1 cm…
NDA Mathematics 2012
NDA 2012
Mathematics
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The line making an angle (-120°) with x-axis is situated in the :
NDA Mathematics 2012
NDA 2012
Mathematics
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Consider the following statements : 1.The value of cos 46° – sin 46° is positive. 2.The value of cos 44°…
NDA Mathematics 2012
NDA 2012
Mathematics
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If sec α = 13/5 where 270° < α < 360°, then what is sin α equal to ?
NDA Mathematics 2012
NDA 2012
Mathematics
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What is sin[ sin⁻¹(3/5) + sin⁻¹(4/5) ] equal to ?
NDA Mathematics 2012
NDA 2012