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Show that 9^(n+1) - 8n -9 is divisible b...

Show that `9^(n+1) - 8n -9` is divisible by 64, whenever n is a positive integer.

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JBD PUBLICATION-MODEL PAPER (15)-EXERCISE
  1. Prove that (sin(x+y))/(sin(x-y))=(tanx+tany)/(tanx-tany)

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  2. If z1= 2 -i, z2= 1+ i, find |(z1+z2+1)/(z1-z2+1)|.

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

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  4. Compute (98)^5

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  5. Using distance formula, show that the points A(6,-7,1), B(2,-3,1) and ...

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  6. Show that the statement is true by the method of contradiction. If x i...

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

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  8. Prove that A^c-B^c=B-A.

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  9. If f(x)=log(x/(x-1)), show that f(x+1)+f(x)=log ((x+1)/(x-1))

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  10. Prove that:cos15^@-sin15^@=1/sqrt2

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  11. Prove that : cos 24^@+ cos 55^@ + cos 125^@ + cos204^@ + cos 300^@= 1/...

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  12. How many words, with or without meaning, each of 2 vowels and 3 conson...

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  13. Find the value of n such that : "^nP5=42 ^nP3, n>4.

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  14. Sum of first p,q and r terms of an A.P. are a,b,c respectively. Prove...

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  15. If the angle between two lines is pi/3 and slope of one of the line is...

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  16. If a parabolic reflector is 20 cm in diameter and 50 cm deep. Find the...

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  17. Evaluate: underset(xrarr1)lim ((x+x^2+x^3+……….x^n)-n)/(x-1)

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  18. If y=asinx+bcosx, prove thaty^2+((dy)/(dx))^2=a^2+b^2

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  19. A,B and C are three mutually exclusive and exhaustive events associat...

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  20. Find theta such that (3+2i sin theta)/(1-2i sin theta) is purely real.

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