Home
Class 12
MATHS
If f (x) =log ""(1+x)/(1-x) then-...

If `f (x) =log ""(1+x)/(1-x)` then-

A

`f (x)` is odd

B

`f(x)` is even

C

`f (x_(1)) f(x_(2)) =f(x_(1) +x_(2))`

D

`(f(x_(1)))/(f(x_(2)))=f (x_(1) +x_(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 2|90 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 4|91 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

If f(x) = log_e ((1-x)/(1+x)) , then f' (0) is

If f(x) =log e (1 + x)/(1 - x) and g(x) = (3x + x^3)/(1 + 3x^2) , then prove that f[g(x)] = 3 cdot f(x) .

If f(x)=log((1+x)/(1-x)),t h e n (a) f(x_1)f(x_2)=f(x_1+x_2) (b) f(x+2)-2f(x+1)+f(x)=0 (c) f(x)+f(x+1)=f(x^2+x) (d) f(x_1)+f(x_2)=f((x_1+x_2)/(1+x_1x_2))

If , f(x)="log"((1+x)/(1-x)) ,show that f(x)+f(y)=f((x+y)/(1+xy))

Find the domain of definition of f(x)=log_e ((1-x)/(1+x)) Further show that f(x_1)+f(x_2)=f((x_1+x_2)/(1+x_1x_2)) , x_1,x_2 in (-1,1)

If f(x)=log_e.(1+x)/(1-x) , show that f((2x)/(1+x^2))=2f(x) .

Find the domain of definition of f(x)=log_e.(1-x)/(1+x). Further show that, f(x_1)+f(x_2)=f((x_1+x_2)/(1+x_1x_2)),x_1,x_2 in (-1,1)

If f(x) = cos (log _(e) x), then f (x) f(y) -1/2 [f(xy) +f((x)/(y))] has the value-

The greatest value of the function f(x) = x^(2)"log" (1)/(x) is-

f(x)=log(x^3) ,f'(x)=?

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 9
  1. If f (x) =log ""(1+x)/(1-x) then-

    Text Solution

    |

  2. if tan x =b/a, then (sqrt((a+b)/(a-b))+sqrt((a-b)/(a+b))) is equal to-

    Text Solution

    |

  3. The complex number z is is such that |z| =1, z ne -1 and w= (z-1)/(z+1...

    Text Solution

    |

  4. The number of words that can be formed out of the letters of the word ...

    Text Solution

    |

  5. The product [32. (32)^(1//6). (32) ^(1//36). ..o] is equal to-

    Text Solution

    |

  6. If a, b, c are distinct positive rational numbers and they are in A.P....

    Text Solution

    |

  7. If the pth, qth and rth terms of a G.P. are again in G.P., then p, q, ...

    Text Solution

    |

  8. 10 boys and 6 girls are arranged in a row, the number of arrangement i...

    Text Solution

    |

  9. If i= sqrt(-1) then the value of sqrti is-

    Text Solution

    |

  10. The sm of numjbers lying between 107 and 253 and divisible by 5 is-

    Text Solution

    |

  11. The coefficient of x ^(24) in (1+ x^(2)) ^(12)(1+ x^(12))(1+ x ^(24)) ...

    Text Solution

    |

  12. If the sum of squares of the diviations of 10 observations taken from ...

    Text Solution

    |

  13. If omega is a complex cube root of unity, then the value of (2-omega) ...

    Text Solution

    |

  14. If the coefficient of x^(7) in (ax ^(2) +(1)/(bx)) ^(11) equals the c...

    Text Solution

    |

  15. The probability of getting a total of at least 6 in the simultaneous t...

    Text Solution

    |

  16. In the Argand diagram, OAP is an isosceles right angled triangle, righ...

    Text Solution

    |

  17. The real part of (1+ cos ""pi/5 + i sin ""pi/5)^(-1) is-

    Text Solution

    |

  18. The valud of [15^(2)+16^(2)+17^(2)+…+ 30^(2)] is-

    Text Solution

    |

  19. 5 boys and 5 girls are sitting in a row randomly. The probability that...

    Text Solution

    |

  20. If x in RR and (x)/(2x+1) ge 1/4, state which of the following is true...

    Text Solution

    |

  21. The value of (""^(20) C(4) +2* ""^(20)C(3)+""^(20)C(2) -""^(22)C(18)) ...

    Text Solution

    |