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Prove the following: cos((3pi)/2+x)cos(2...

Prove the following: `cos((3pi)/2+x)cos(2pi+x)[cot((3pi)/2-x)+cot(2pi+x)]=1`

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JBD PUBLICATION-MODEL PAPER (12)-EXERCISE
  1. If A and B are mutually exclusive events then:

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  2. Prove that : (tan (pi/4+x))/(tan (pi/4-x))= ((1+tanx)/(1-tanx))^2.

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  3. Prove the following: cos((3pi)/2+x)cos(2pi+x)[cot((3pi)/2-x)+cot(2pi+x...

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  4. Express: (-i)(2i)(-1/8i)^3 in the form of a+ib.

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  5. Find the fourth term from the end in the expansion of [x^3/2-2/x^3]^9.

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  6. Show that 9^(n+1) - 8n -9 is divisible by 64, whenever n is a positiv...

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  7. Find the lenghts of the medians of the triangle with vertices A(0,0,6)...

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

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

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  10. Find the component statement of the following and check whether they a...

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  11. Let A={a,b,c} and B={1,2,3}. Find the number of relations from A into ...

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  12. Show tha: cos6A=32cos^6A-48cos^4A+18cos^2A-1

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  13. 1^2+2^2+3^3+.....+n^2=(n(n+1)(2n+1))/(6)

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  14. If ^nC3=56 and ^nP3=336, find n .

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  15. The English alphabet has 5 vowels and 21 consonants. How many words wi...

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  16. The sum of two numbers is 6 times their G.M. show that numbers are in ...

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  17. Between 1 and 31, n A.M's have been inserted in sucha a way that the r...

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  18. In which ratio is the line joining the points (1,3) and (2,7) is divid...

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  19. Find the equation of hyperbola whose foic are (0, pm12) and length of ...

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  20. Evaluate:underset(xrarr0)lim (1-cos2x)/(3tan^2x)

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