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Find the 6th term in the expansion of (x...

Find the 6th term in the expansion of `(x+3)^9`.

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JBD PUBLICATION-MODEL PAPER (2)-EXERCISE
  1. Represent the complex number z=1+sqrt3i in the polar form.

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  2. Find the 13th term in the expansion of (9x -1/(3sqrt(x)))^(18)

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  3. Find the 6th term in the expansion of (x+3)^9.

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  4. Verify that (0, 7, 10) , (-1,6,6) and (-4, 9,6) are the vertices of a ...

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  5. Write down the truth value (T or F) of the following statement: Every ...

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  6. Write down the truth value (T or F) of the following statement: Zero i...

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  7. Prove that sqrt5 irrational.

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  8. In a survey of 600 students in a school, 150 students were found to be...

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  9. The relation 'f' is defined by f(x)={(x^2,0lexle3), (3x, 3lexle10):} ...

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  10. Prove that: 2cos frac (pi)(13)cos frac (9pi)(13)+cos frac (3pi)(13)+co...

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  11. If sinx=-5/13 and x lies in IIIrd quadrant. Find the value of secx+tan...

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  12. Using mathematical induction , show that n(n+1)(n+5) is a multiple of...

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  13. Determine the number of 5 card combinations out of a deck of 52 cards ...

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  14. If 1/(6!)+1/(7!)=x/(8!), find x

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  15. Find the sum of all natural numbers lying between 100 and 1000, which ...

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  16. Find the sum of n terms of the following sequences: 8+88+888+……………..up...

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  17. Find the angle between x-axis and line joining points (5,-1) and (3,-4...

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  18. Find the equation of the circle with the centre (1/2,1/4) and radius 1...

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  19. Evaluate: underset(xrarr1)lim[(x-2)/(x^2-x)-1/(x^3-3x^2+2x)].

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  20. Find the derivative of 5x^3(x-1).

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