General Questions Set 17:
For the given 2x2 matrix A, the sum of the eigenvalues is:
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The analytic function f(z) = (z - 1)/(z² - 1) has singularities at
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For a given matrix A, (A - AT)/2 is
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For the function f(x) = sin(x)/x, how many points exist such that f'(c) = 0 in the interval [0, 18π]?
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A force making an angle 45° with the X-axis has a vertical component of 10 N. Find the magnitude of the force.
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A vector does not change if it is slid parallel to itself.
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An analytic function of a complex variable z = x+iy is expressed as f(z) = U(x,y) +iV(x,y). If U=xy, the expression of V should be
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Raju has 14 currency notes in his pocket consisting of only 20 rupee notes and 10 rupee notes. The total money value of the notes is 230 rupees. What is the number of 10 rupee notes that Raju has?
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A survey was taken in the city of Bogota. 33% of people like to eat burgers, 42% like to eat pizza, and 12% like to eat both. What is the probability that a randomly selected person likes to eat neither burgers nor pizza?
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Consider a non-homogeneous system of linear equations representing mathematically an over-determined system. Such a system will be:
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