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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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  2. /Prelims Questions
Q.12691·Miscellaneous·2013·Easy

Consider the following: 1. tan(π/6) 2. tan(3π/4) 3. tan(5π/4) 4. tan(2π/3) What is the correct order?

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Q.12692·Miscellaneous·2013·Easy

If the three vertices of the parallelogram ABCD are A(1, a), B(3, a), C(2, b), then D is equal to

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Q.12693·Miscellaneous·2013·Easy

The value of k for which the lines 2x + 3y + a = 0 and 5x + ky + a = 0 represent family of parallel lines is

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Q.12694·Miscellaneous·2013·Easy

What is the equation of the line which passes through (4, -5) and is perpendicular to 3x + 4y + 5 = 0 ?

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Q.12695·Miscellaneous·2013·Easy

For what value of k are the two straight lines 3x + 4y = 1 and 4x + 3y + 2k = 0 equidistant from the point (1, 1)?

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Q.12696·Miscellaneous·2013·Easy

A point P moves such that its distances from (1, 2) and (-2, 3) are equal. Then the locus of P is

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Q.12697·Miscellaneous·2013·Easy

The equation of the locus of a point which is equidistant from the axes is

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Q.12698·Miscellaneous·2013·Easy

What angle does the line segment joining (5, 2) and (6, -15) subtend at (0, 0)?

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Q.12699·Miscellaneous·2013·Easy

What is the equation to the straight line passing through (5, -2) and (-4, 7)?

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Q.12700·Miscellaneous·2013·Easy

What is the angle between the lines x + y = 1 and x - y = 1?

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Q.12701·Miscellaneous·2013·Easy

The centroid of the triangle with vertices (2, 3), (-2, -5) and (3, 5) is at

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Q.12702·Miscellaneous·2013·Easy

The equation of the line, the reciprocals of whose intercepts on the axes are m and n, is given by

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Q.12703·Miscellaneous·2013·Easy

What is the equation of the sphere with unit radius having centre at the origin?

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Q.12704·Miscellaneous·2013·Easy

What is the sum of the squares of direction cosines of x-axis?

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Q.12705·Miscellaneous·2013·Easy

If the projections of a straight line segment on the coordinate axes are 2, 3, 6, then the length of the segment is

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Q.12706·Miscellaneous·2013·Easy

Consider the following functions: 1. f(x) = e^x, where x > 0 2. g(x) = |x – 3| Which of the above functions is/are continuous?

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Q.12707·Miscellaneous·2013·Easy

The minimum value of the function f(x) = |x – 4| exists at

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Q.12708·Miscellaneous·2013·Easy

P : to be admitted Q : not necessary that R : to an engineering college S : you qualify an entrance examination The correct sequence should be

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