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  • Question 1
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    If 2tan−1x(cos x)=tan−1(2cosecx) then x equals

  • Question 2
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    The function f(x)=(9−x2)2 increasing in

  • Question 3
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    The coefficients of 5th, 6thand 7thterms in the expansion of (1+x)nare in AP, then n =

  • Question 4
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    The mean and standard deviation of a binomial variate X are 4 and √3 respectively. Then, P(X≥1) is

  • Question 5
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    \(\int \frac{\sin ^{2} x-\cos ^{2} x}{1-2 \sin ^{2} x \cos ^{2} x} d x\) is equal to

  • Question 6
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    A ladder 5 metre long leans against a vertical wall. The bottom of the ladder is 3 metre from the wall. If the bottom of the ladder is pulled 5 metre farther from the wall, how much does the top of the ladder slide down the wall

  • Question 7
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    If y=sec(tan−1x),y=sec⁡(tan-1⁡x), then dy / dx is equal to

  • Question 8
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    The degree of the equation ex+sin(dy / dx)=3 is..........

  • Question 9
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    Two dice are thrown nn times in succession. The probability of obtaining a double six at least once, is

  • Question 10
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    A die is tossed 5 times. Getting an odd number is considered a success. Then the variance of distribution of success is

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