Home
Class 10
MATHS
IF f(a)=log((2+a)/(2-a)) then 1/2f((8a...

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

A

f(a)

B

2.f(a)

C

`1/2f(a)`

D

None

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • REAL NUMBERS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|321 Videos
  • SETS

    VGS PUBLICATION-BRILLIANT|Exercise CREATIVE BITS OF CCE MODEL EXAMINATION|116 Videos

Similar Questions

Explore conceptually related problems

If f(a)=log.(2+a)/(2-a)" for " 0lt a lt2 then (1)/(2)f((8a)/(4+a^(2)))=

If f(x)=log.(1-a)/(1+a)" for " 0ltalt1 then f((2a)/(1+a^(2)))=

If f:R-{pm1}rarrR is defined by f(x)=log|(1+x)/(1-x)|, "thenS.T "f((2x)/(1+x^(2)))=2f(x)

If f:R-(pm1)toR is defined by f(x)=log|(1+x)/(1-x)| , then show that f((2x)/(1+x^(2)))=2f(x) .

If f(x) =log((1+x)/(1-x)) then prove that: f((x_(1)+x_(2))/(1+x_(1)x_(2)))=f(x_(1)) + f(x_(2))

If f(x)=log.(1+x)/(1-x) then f((x_(1)+x_(2))/(1+x_(1)x_(2)))=

f(x)=log(1-x^(2)) is dereasing in

If f(x)=log_(e(x))((x^(2)+e)/(x^(2)+1)) , then the range of f(x) is

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……………

    Text Solution

    |

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

    Text Solution

    |

  3. The H.C.F of 72 and 108 is………….

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. log(8)128=

    Text Solution

    |

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

    Text Solution

    |