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  • Question 1
    1 / -0

    The value ofsin25∘+sin210∘+sin215∘+ ..............+

    sin285∘+sin290∘is equal to

  • Question 2
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    If \(\int \frac{\left(x^{2}+1\right)\left(x^{2}+4\right)}{\left(x^{2}+3\right)\left(x^{2}-5\right)} d x=\int\left\{1+\frac{f(x)}{\left(x^{2}+3\right)\left(x^{2}-5\right)}\right\} d x\)
    \(x+A \tan ^{-1}\left(\frac{x}{A^{\prime}}\right)+B \log \left(\frac{x-l}{x+m}\right)+K \quad\) then which of the following is correct

  • Question 3
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    If \(\log _{\frac{1}{\sqrt{2}}} \sin x>0, x \epsilon[0,4 \pi]\) then the number of values of \(x\) which are integral
    multiples of \(\frac{\pi}{4}\) is

  • Question 4
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    The values of x and y for which the numbers 3+ ix2y andx2+y+ 4i are conjugate complex are

  • Question 5
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    If the sum of the n terms of G.P. is S product is P and sum of their inverse is R, than P2 is equal to

  • Question 6
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    The odds in favour of A solving a problem are 3 to 4 and the odds  against B solving the same problem are 5 to 7.  If they  both try the problem, the probability that the problem is solved is:

  • Question 7
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    The value \(\operatorname{lt} \sum_{n \rightarrow \infty} \sum_{r=0}^{r-n} \frac{^{n} C_{r}}{(r+3)}\) is

  • Question 8
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    If sinθ, cosθ and tanθ are in G.P. then cot6θ − cot2θ is

  • Question 9
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    The value of \(4+5\left(-\frac{1}{2}+i \frac{\sqrt{3}}{2}\right)^{334}+3\left(-\frac{1}{2}-i \frac{\sqrt{3}}{2}\right)^{335}\) is

  • Question 10
    1 / -0

    The degree and order respectively of the differential equation of all the parabolas whose axis is x-axis, are

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