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  • Question 1
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    \(\int_{0}^{1} \sqrt{\frac{1-x}{1+x}} \mathrm{d} x=\)

  • Question 2
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    For a random variable X,E(X)=3 and E(X)2=11. Then, variance of X is

  • Question 3
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    If the points \(\mathrm{P}_{1}\) and \(\mathrm{P}_{2}\) represent two complex numbers \(\mathrm{z}_{1}\) and \(\mathrm{z}_{2}\), then the point \(\mathrm{P}_{3}\) represents the number:

  • Question 4
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  • Question 5
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    The locus of the point PP which is equidistant from 3x+4y+5=03x+4y+5=0 and 9x+12y+7=09x+12y+7=0 is

  • Question 6
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    Two dice are thrown nn times in succession. The probability of obtaining a double six at least once, is

  • Question 7
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    If the sum of the first four terms of an AP is 16 and the sum of their squares is 84, then the terms are

  • Question 8
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    If A and B are square matrices of order 3, then

  • Question 9
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    \(\text { The domain of definition of } f(x)=\sqrt{\log _{0.4}}\left(\frac{x-1}{x+5}\right) \times \frac{1}{x^{2}-36} \text { is }\)

  • Question 10
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    Let S = (x – 1)10 + (x – 1)9 (x + 1) + (x – 1)8 (x + 1)2 + …….+ (x + 1)10

    Which of the following is a constant term in the expansion of S?

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