46. If a* = (x + y + z)", a' = (x +...
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46. If a* = (x + y + z)", a' = (x + y + z)and a' = (x + y + z)* , then the value of x + y + z (given a * 0) is (1) 0 (2) (3) 1 (4) a

11th - 12th Class
Maths
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46. (4) ( a^{x}=(x+y+z)^{y} ) ( a^{y}=(x+y+z)^{z} ) ( a^{z}=(x+y+z)^{x} ) Multiplying corresponding terms, ( a^{x} cdot a^{y} cdot a^{z}=(x+y+z)^{x+y+z} ) ( Rightarrow a^{x+y+z}=(x+y+z)^{x+y+z} ) ( Rightarrow a=x+y+z )
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