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IF x=(a-b)/(a+b),y=(b-c)/(b+c),z=(c-a)/(...

IF `x=(a-b)/(a+b),y=(b-c)/(b+c),z=(c-a)/(c+a)` then `((1+x)(1+y)(1+z))/((1-x)(1-y)(1-z))`=............

A

-1

B

0

C

1

D

`(a+b+c)/(a-b-c)`

Text Solution

Verified by Experts

The correct Answer is:
C
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VGS PUBLICATION-BRILLIANT-REAL NUMBERS (MULTIPLE CHOICE QUESTION)-REAL NUMBERS (MULTIPLE CHOICE QUESTION)
  1. The number 17 times 11 times 2 +17 times 11 times 5 is……………

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  2. (256)^0.16 times(256)^0.09=.........

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  3. The H.C.F of 72 and 108 is………….

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  4. IF (a^m)^n=a^(m^n) then the value of 'm' in terms of 'n' is……………

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  5. ((p+1/q)^p.(p-1/q)^q)/((q+1/p)^p.(q-1/p)^q)=(p/q)^x then x=

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  6. IF a^(1/x)=b^(1/y)=c^(1/z) and abc=1 then x+y+z=…………..

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  7. If a=x+sqrt(x^(2)+1) , then what is x equal to?

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  8. IF 2^x=4^y=8^z and xyz=288 then 1/(2x)+1/(4y)+1/(8z)=……………

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  9. IF x=(a-b)/(a+b),y=(b-c)/(b+c),z=(c-a)/(c+a) then ((1+x)(1+y)(1+z))/((...

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  10. IF a=5^(1//3)+5^(-1//3)andb=5^(1//3)-5^(-1//3) then (a^3-3a)/(b^3+3b)=...

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  11. IF a^x=b^y=c^z,b^2=ac then 1/x+1/z=

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  12. IF (1.234)^a=(0.1234)^b=10^c then 1/a-1/c=…………

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  13. IF x=root3(sqrt2+1)-root3(sqrt2-1) then x^3+3x=…………

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  14. IF a+b+c=0 then (a^2+b^2+c^2)/((a-b)^2+(b-c)^2+(c-a)^2)=

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  15. IF log 6789=2.8318, then the number of digits in (678.9)^(100) is

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  16. IF log3x+log9x+log27x+log729x=4 then x=…………..

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  17. IF f(a)=log((2+a)/(2-a)) then 1/2f((8a)/(4+a^2)) =…………..

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  18. log10 tan1^@+log10 tan2^@+log10 tan3^@+......+log10 tan89^@=..........

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  19. log(8)128=

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  20. IF 4a^2+9b^2=37ab then log(2a+3b)=………..

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