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Prelims

UPSC Prelims Questions

Practice UPSC Prelims MCQs by subject and year. Free questions with explanations for focused revision.

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Q.13717·Miscellaneous·2012·Easy

Prof. Vijay Raghavan, an Indian scientist, who has been elected Fellow of Royal Society in the year 2012, is a renowned

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Q.13718·Miscellaneous·2012·Easy

ABCD is a parallelogram. If AB = a, BC = b, then what is BD equal to ?

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Q.13719·Miscellaneous·2012·Easy

Consider the following statements : 1.The value of cos 46° - sin 46° is positive. 2.The value of cos 44° - sin 44° is negative. Which of the above statements is/are correct ?

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Q.13720·Miscellaneous·2012·Easy

The line making an angle (-120°) with x-axis is situated in the :

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Q.13721·Miscellaneous·2012·Easy

The angle subtended at the centre of a circle of radius 3 cm by an arc of length 1 cm is :

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Q.13722·Miscellaneous·2012·Easy

From the top of a lighthouse 70 m high with its base at sea level, the angle of depression of a boat is 15°. The distance of the boat from the foot of the lighthouse is :

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Q.13723·Miscellaneous·2012·Easy

The locus of a point equidistant from three collinear points is :

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Q.13724·Miscellaneous·2012·Easy

The equation to the locus of a point which is always equidistant from the points (1,0) and (0,-2) is :

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Q.13725·Miscellaneous·2012·Easy

The points (5,1), (1,-1) and (11,4) are :

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Q.13726·Miscellaneous·2012·Easy

What is the perpendicular distance between the parallel lines 3x + 4y = 9 and 9x + 12y + 28 = 0 ?

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Q.13727·Miscellaneous·2012·Easy

Let p, q, r, s be the distances from origin of the points (2,6), (3,4), (4,5) and (-2,5) respectively. Which one of the following is a whole number ?

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Q.13728·Miscellaneous·2012·Easy

If a.b = 0 and a×b = 0 then which one of the following is correct ?

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Q.13729·Miscellaneous·2012·Easy

From the point (4,3) a perpendicular is dropped on the x-axis as well as on the y-axis. If the lengths of perpendiculars are p, q respectively, then which one of the following is correct ?

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Q.13730·Miscellaneous·2012·Easy

The line y = 0 divides the line joining the points (3,-5) and (-4,7) in the ratio :

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Q.13731·Miscellaneous·2012·Easy

The eccentricity e of an ellipse satisfies the condition :

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Q.13732·Miscellaneous·2012·Easy

The equation of a straight line which makes an angle 45° with the x-axis with y-intercept 101 units is :

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Q.13733·Miscellaneous·2012·Easy

What is the distance of the point (1,2,0) from yz-plane is :

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Q.13734·Miscellaneous·2012·Easy

What are the direction cosines of a line which is equally inclined to the positive directions of the axes ?

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