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What is the maximum value of sin x.cos x?
3
.What is equal to?
4
What is the derivative of tan1 x with respect to cot1 x?
5
The function u(x, y) = c which satisfies the differential equation x(dx – dy) + y (dy – dx) = 0, is
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What is the minimum value of where A ∈ R?
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Consider the following statements :
1)The function f(x) = In xincreases in the interval (0, ∞).
2) The function f(x) = increases in the interval (
π/2,

)
Which of the above statements is/are correct?
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.Which one of the following is correct in respect of the graph
of ?
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What is the solution of the differential equation ?
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Let l be the length and b be the breadth of a rectangle such that . What is the maximum area of the rectangle
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.The numbers 4 and 9 have frequencies x and (x  1) respectively. If their arithmetic mean is 6, then what is the value of x?
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If three dice are rolled under the condition that no two dice show the same face, then what is the probability that one of the faces is having the number 6?
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.If and then which one of the following is not correct
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The sum of deviations of n number of observations measured from 2.5 is 50 . The sum of deviations of the same set of observations measured from 3.5 is 50 . What is the value of n?
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A data set of n observations has mean 2M, while another data set of 2n observations has mean M. What is the mean of the combined data sets?