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For every positive integer n,prove that ...

For every positive integer n,prove that `7^n-3^n` is divisible by 4 using principle of mathematical induction.

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MAXIMUM PUBLICATION-MODEL PAPER 20-EXAMPLE
  1. Identify signum function from given graphs

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  2. Write domain and range of signum function

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  3. For every positive integer n,prove that 7^n-3^n is divisible by 4 usin...

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  4. In the figure , Z represents a complex number. Write the complex num...

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  5. In the above figure , Z represents a complex number. Find real and i...

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  6. In the above figure , Z represents a complex number. Find the multip...

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  7. Solve graphically: 2x+y>4,x+y<3,2x-3y<6

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  8. Find the middle term of the expression (3-x^3/6)^8

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  9. Find the area of a triangle formed by the line joining the vertex of p...

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  10. Write the negation of the statement "All triangles are not equilateral...

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  11. Verify by the method of contradiction. p: sqrt7 is irrational.

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  12. Find the probability that when a hand of 7 cards is drawn from a well ...

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  13. Find the probability that when a hand of 7 cards is drawn from a well ...

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  14. Solve sin2x-sin4x+sin6x=0

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  15. For any triangle ABC, prove that (a+b)/c=cos((A-B)/2)/sin(C/2)

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  16. ^nC8=^nC8 , n=…….

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  17. In how many way can the letters of the word PERMUTATIONS be arranged i...

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  18. In how many ways can the letters of the word PERMUTATIONS be arranged ...

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  19. How many words with or without meaning each of three vowels and two c...

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  20. Find the equation of the line passing through point (3,8) and perpendi...

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