Home
Class 11
MATHS
Let f(x)=sqrt(1+x^(2)), then :...

Let `f(x)=sqrt(1+x^(2))`, then :

A

`f(xy)=f(x).f(y)`

B

`f(xy) ge f (x).f(y)`

C

`f(xy) le f(x).f(y)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • RELATION AND FUNCTIONS

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (Choose the correct answer from the given four options in questions)|32 Videos
  • QUADRATIC EQUATIONS

    ICSE|Exercise CHAPTER TEST|24 Videos
  • RELATIONS AND FUNCTIONS

    ICSE|Exercise EXERCISE 2 (g)|37 Videos

Similar Questions

Explore conceptually related problems

If f(x)=sqrt(x^(2)-2x+1), then f' (x) ?

Let f (x)= (x)/(sqrt(1+x^(2))) then ubrace(fo fo fo ......of)(x) is :

Let f(x)=sqrt(x^(2)-4x) and g(x) = 3x . The sum of all values for which f(x) = g(x) is

Let f (x) =x + sqrt(x^(2) +2x) and g (x) = sqrt(x^(2) +2x)-x, then:

Let f(x) = 1 /(sqrt( 18 - x^2) The value of Lt_(x -> 3) (f(x)-f(3)) / (x-3) is

Let f(x) = tan x, x in (-pi/2,pi/2)and g(x) = sqrt(1-x^2) then g(f(x)) is

Let f(x)="min"{sqrt(4-x^(2)),sqrt(1+x^(2))}AA,x in [-2, 2] then the number of points where f(x) is non - differentiable is

f(x)=sqrt(1-sqrt(1-x^2) then at x=0 ,value of f(x) is

Let f(x)=tan^(-1)((sqrt(1+x^(2))-1)/(x)) then which of the following is correct :

Let f(x)=tan^(-1)((sqrt(1+x^(2))-1)/(x)) then which of the following is correct :

ICSE-RELATION AND FUNCTIONS-MULTIPLE CHOICE QUESTIONS (Choose the correct answer from the given four options in questions)
  1. Which of the following arrow diagrams represents a function from Xto Y...

    Text Solution

    |

  2. Let A and B be two finite sets, then the number of functions from A to...

    Text Solution

    |

  3. Let A be a finite set containing 3 elements, then the number of functi...

    Text Solution

    |

  4. The domain of the functionf detined by f(x)= sqrt(a^(2)-x^(2)),(agt 0)...

    Text Solution

    |

  5. The domain of the function f defined by f(x)= sqrt(x^(2)-9) is

    Text Solution

    |

  6. The domain of the function f defined by f(x)=(1)/(sqrt(|x|-x)) is

    Text Solution

    |

  7. The domain of the function f given by f(x)=(x^(2)+2x+1)/(x^(2)-x-6)

    Text Solution

    |

  8. The domain and range of the real function f defined by f(x)=(1)/(4x^(2...

    Text Solution

    |

  9. Find the domain and the range of the real function f defined by f(x)=...

    Text Solution

    |

  10. The domain and range of the real function f defined by f(x)=(x-2)/(2-x...

    Text Solution

    |

  11. The domain and range of the real function f defined by (x)/(|x|) are

    Text Solution

    |

  12. The domain and range of the functions given by f(x)=2-|x-5| are

    Text Solution

    |

  13. The domain of the function f defined by f(x)= sqrt(a-x)+(1)/( sqrt(x^...

    Text Solution

    |

  14. The domain of the function f defined by f(x)=log(e)(5-6x) is

    Text Solution

    |

  15. The domain of the function f(x)=(1)/(4-x^(2))+log(10)(x^(2)-x) is

    Text Solution

    |

  16. If [x]^(2)-3[x]+2=0 where [*] denotes the greatest integer function, t...

    Text Solution

    |

  17. If f(x) = px +q, where p and q are integers f (-1) = 1 and f (2) = 13,...

    Text Solution

    |

  18. Let f(x)=sqrt(1+x^(2)), then :

    Text Solution

    |

  19. The domain for which the functions defined by f(x)=6x^(2)+1 and g(x)=1...

    Text Solution

    |

  20. If f(x)-3f((1)/(x))=2x+3(x ne 0) then f(3) is equal to

    Text Solution

    |