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Using Binomial theorem, prove that 6^(n)...

Using Binomial theorem, prove that `6^(n)-5n` always leaves remainder 1 when divided by 25.

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JBD PUBLICATION-MODEL PAPER (7)-EXERCISE
  1. Prove that: 2 sin^2(3pi)/4+2cos^2pi/4+2s e c^2pi/3=10

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  2. If a + ib = ((x+i)^2)/(2x^2+1), prove that a^2+b^2 =((x^2+1)^2)/((2x^2...

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  3. Using Binomial theorem, prove that 6^(n)-5n always leaves remainder 1...

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  4. Write the middle term of (x-1/x)^(2n).

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  5. Find the equation of the set of points P, the sum of whose distance fr...

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  6. Find out which of the following sentences are statements and which are...

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  7. Find out which of the following sentences are statements and which are...

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  8. Write each of the statement in the form if p and then q p: It is nec...

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  9. Write each of the following statements in the form "if p then q" q: Th...

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  10. Taking the set of natural numbers as the universal set, write down the...

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  11. Find the domain of the function f(x)= (x^2+2x+1)/(x^2-8x+12).

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  12. If cosx=-1/3, x lies in IIIrd quadrant, find the value of sinx/2, cosx...

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  13. Find the value of tanpi/8.

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  14. 1.3+3.5+5.7+......+(2n-1)(2n+1)=(n(4n^2+6n-1))/(3)

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  15. Determine n if "^(2n)C3 : "^nC3 = 11 : 1

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  16. In an A.P., if p^(th) term is 1/q and q^(th) term is 1/p, prove that t...

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  17. Find angles between the lines sqrt(3)x+y=1 and x+sqrt(3)y=1.

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  18. Find the equation of a circle passing through the points (5, 7), (6, 6...

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  19. Evaluate: underset(xrarr0)lim (e^(log(1+2x)))/x

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  20. Find the derivative of x^5(3-6x^-9).

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