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If a^(x)=(x+y+z)^(y), a^(y)=(x+y+z)^(z),...

If `a^(x)=(x+y+z)^(y), a^(y)=(x+y+z)^(z), a^(z)=(x+y+z)^(x)`, then :

A

only `(x+ Y+ z)= a`

B

`x=y = z = (a)/(3)`

C

`x=y=z=2a`

D

`x=y=z=a`

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The correct Answer is:
A, C
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ADVANCED MATHS BY ABHINAY MATHS ENGLISH-ALGEBRA THEORY-Example
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  2. Given pq + qr + rp = 0 find (p^(2))/(p^(2)-qr) + (q^(2))/(q^(2) -rp...

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  3. If a^(x)=(x+y+z)^(y), a^(y)=(x+y+z)^(z), a^(z)=(x+y+z)^(x), then :

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  4. If x(x+y+z) =4, y(x+y+z)=16 and z (x+y+z)=29 and x, y & z are positive...

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  5. If (x+ y)^(2) = 21 + z^(2), (y+z)^(2)= 32 + x^(2) and (z+ x)^(2) = 28+...

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  6. If x+ (1)/(x)=2, find x^(11) + (1)/(x^(11))= ?

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  7. If x+ (1)/(x)=2, find x^(112)- (1)/(x^(112))= ?

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  8. If m+ (1)/(m-2)=4, find (m-2)^(111) + (1)/((m-2)^(111))=?

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  9. If m+ (1)/(m-2)=4, find m^(2) + m+1=?

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  10. If m+ (1)/(m+2)= 0 find (m+2)^(112) + (1)/((m+2)^(112))= ?

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  11. If m+ (1)/(m+2)= 0 find m^(4) + m^(3) + m^(2) + m+1=?

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  12. If x+ (1)/(x)= -2, find x^(11) + (1)/(x^(11))= ?

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  13. If x+ (1)/(x)= -2, find x^(112) + (1)/(x^(112))=?

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  14. If x+ (1)/(x)= -2, find x^(112) - (1)/(x^(113))= ?

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  15. If x+ (1)/(x)= -2, find x^(11) + (1)/(x^(12))= ?

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  16. If m+ (1)/(m+2)=-4 , find (m+2)^(111) + (1)/((m+2)^(111))=?

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  17. If m+ (1)/(m+2)=-4 , find m^(2) + m+1=?

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  18. If m+ (1)/(m-2)=0, find (m-2)^(12) + (1)/((m-2)^(11))= ?

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  19. If m+ (1)/(m-2)=0, find m^(5) + m^(4) + m^(3) + m^(2)+ m+1= ?

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  20. If x+ (1)/(x)=1, find x^(9) + (1)/(x^(9))=

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