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If x+y+z=0, then the value of (x^2y^2+y...

If x+y+z=0, then the value of
`(x^2y^2+y^2z^2+z^2x^2)/(x^4+y^4+z^4)` is :

A

0

B

`1/2`

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
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QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. Find the value of a^3+b^3+c^3-3abc if a+b+c=12 and ab +bc +ca=47.

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  2. If a + b + c = 0 , then the value of a^3 + b^3 + c^3 is :

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  3. If x+y+z=0, then the value of (x^2y^2+y^2z^2+z^2x^2)/(x^4+y^4+z^4) is...

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  4. The value of a^3+b^3+c^3-3abc, when a =87, b = -126 and c=39 is :

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  5. The greatest divisor of (a-b)(a+b)(a^2+b^2)(a^4+b^4)(a^8+b^8)(a^16+b^...

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  6. In the above example which of the following can not divide given expre...

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  7. The expression 31^n+17^n is divisible by for every odd positive intege...

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  8. Which is not the factor of 4^(6n)-6^(4n) for any positive integer n?

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  9. 19^(n) - 1 is

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  10. Find the remainder when 38 + 71 + 85 is divided by 16.

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  11. Find the remainder when 1661 + 1551 + 1441 + 1331 + 1221 is divided ...

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  12. What is the remainder when 678 + 687 + 6879 + 6890 is divided by 17 ...

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  13. What is the remainder when (10 + 10^2 + 10^3 + 10^4 + 10^5) is divided...

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  14. Find the remainder when 123 xx 1234 is divided by 15.

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  15. Find the remainder when 1719 xx 1721 xx 1723 xx 1725 xx 1727 is divide...

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  16. Find the remainder when 7^7 is divided by 4.

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  17. Find the remainder when 11^8 is divided by 7.

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  18. Find the remainder when 5^(123) is divided by 7.

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  19. Find the remainder when 123^(321) is divided by 5.

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  20. Find the remainder when 923^(888) + 235^(222) is divided by 4.

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