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If (a^2 + b^2)^3 = (a^3 + b^3)^2 and ab ...

If `(a^2 + b^2)^3 = (a^3 + b^3)^2` and `ab != 0` then `(a/b + b/a)^6` is equal to :

A

`(a^6 + b^6)/(a^3b^3)`

B

`64/729`

C

`1`

D

`(a^6 + a^3b^3 + b^6)/(a^2 b^4 + a^4b^2)`

Text Solution

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The correct Answer is:
B
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ARIHANT SSC-FUNDAMENTALS -EXERCISE - MISCELLANEOUS
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  2. Which one of the following statements is not correct :

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  3. If (a^2 + b^2)^3 = (a^3 + b^3)^2 and ab != 0 then (a/b + b/a)^6 is equ...

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  4. A page contains 60 lines. A chapter contains 125 pages. A book contain...

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  5. If x is a natural number which is a perfect square , then the number x...

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  6. If 2^p + 1 is a prime number, then p must be power of:

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  7. The number of composite numbers between 101 and 120 is :

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  8. The number 10^(N) - 1 is divisible by 11 for :

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  9. A merchant has 140 litres, 260 litres, 320 litres of three kinds of oi...

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  10. If d is the HCF of a and b, then d = lambda a + mu b where :

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  11. The expression (1+1/3)(1+1/4)(1+1/5)dot(1+1/n) simplifies to (n+...

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  12. If x = 2^(1//3) + 2^(-1//3) then the value of 2x^3 - 6x will be :

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  13. On the set of integers I, if a binary operation 'o' be defined as aob ...

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  14. If x - y = 1, then the value of x^3 - y^3 - 3xy will be :

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  15. Among the expression (1 - 3p), [1 - (3P)^(2)], [1 - (3P)^(3)] and [1 -...

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  16. If the sum of three consecutive integers is 21, then the sum of the tw...

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  17. If 2s = a + b + c, then the value of (s - a)^2 + (s - b)^2 + (s - c)...

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  18. If ab + bc + ca = 0, then the value of 1/(a^2 - bc) + 1/(b^2 - ca) + 1...

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  19. If 4^(x + 3) xx 2^(x - 3) - 128 = 0 then the value of x is :

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  20. If a^m .a^n = a^(mn), then m(n - 2) + n(m- 2) is :

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