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  • Question 1
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    The value of cos 1° cos 2° cos 3°  cos 179° is:

  • Question 2
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    A line with positive direction cosines passes through the point P(2,−1,2) and makes equal angles with the coordinate axes. The line meets the plane 2x+y+z=9 at point Q. The length of the line segment PQ equals

  • Question 3
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    Interval in which at least one of the points of local maximum of cos^2 x + sinx lies

  • Question 4
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    A fair die is tossed repeatedly until a six is obtained. Let X denote the number of tosses required. The probability that X = 3 equals

  • Question 5
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    Let ABC and ABC′ be two non−congruent triangles with sides AB = 4, AC = AC′ = 2√2 and angle B = 30°. The absolute value of the difference between the areas of these triangles is

  • Question 6
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  • Question 7
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    Points of discontinuity of the function f(x) = [6x/π]cos[3x/π]

  • Question 8
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    The maximum value of the function f(x)=2x315x2+36x48 on the set A =x|x2+209x| is

  • Question 9
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  • Question 10
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