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If the equation 4sin(x+(pi)/3)cos(x-(pi)...

If the equation `4sin(x+(pi)/3)cos(x-(pi)/3)=a^(2)+sqrt(3)+sin2x-cos2x` has solution then number of integral values of a is (where `a epsilon R`)

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ALLEN -TEST PAPERS-MATHEMATICS
  1. Lim(n to oo) (-1)^(n)sin(pisqrt(n^(2)+n)), n epsilon N is

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  2. If f(x)=int(sinx)/(cos^(2)x)(1-3sin^(3)x)dx, then value of (f(0)-f(pi)...

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  3. If the equation 4sin(x+(pi)/3)cos(x-(pi)/3)=a^(2)+sqrt(3)+sin2x-cos2x ...

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  4. If introot(3)(x).root(5)(1+root(3)(x^(4)))dx=5/8(1+x^(4/a))^((2a)/b)+c...

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  5. If x=cos^(7)theta and y=sin theta and (d^(3)x)/(dy^(3))=105/a sin (a t...

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  6. If Lim(x to 0)(ae^(x)-bln(1+x)+ce^(-x))/(x sin x)=2 then value of a+b+...

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  7. Given the correct order of initials T or F for the following statement...

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  8. Which is NOT correctly matched?

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  9. Select the INCORRECT order.

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  10. Consider the following conversions: N(2)toN(2)^(+) O(2) to O(2)^(+...

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  11. Optically inactive molecule in the following?

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  12. Which of the follownig will show geometrical isomerism?

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  13. Correct IUPAC name of given compound is

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  14. Which of the following pair is correct representation of resonating st...

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  15. Which of option is incorrect?

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  16. Which of the following types of solids is most likely to be soft, have...

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  17. For reaction A(aq.)to2B(aq.), if 50% reaction occurs in 10 minutes and...

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  18. At 80^(@)C the vapour pressure of pure liquid 'A' is 520 mm Hg and tha...

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  19. Select the INCORRECT statement

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  20. An ideal gas having (gamma=4/3) is taken from A to B according to give...

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