Home
Class 11
MATHS
The function f: C to C defined by f(x)=(...

The function `f: C to C` defined by `f(x)=(ax+b)/(cx+d)` for `x in C` where `bd ne 0` reduces to a constant function if:

A

a=c

B

b=d

C

ad=bc

D

ab=cd

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|50 Videos

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -I|53 Videos

  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos

  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

Let a fiunction f defined by f(x)=(x-|x|)/(x) "for" x ne0 and f(0) =2 then f is

f:C rarr C is defined as f(x)=(ax+b)/(cx+d), bd != 0 then f is a constant function when

If the function f:{-1,1} to{0,2}, defined by f(x)=ax+b is a surjection, then find a & b.

Discuss the continuity of the function f defined by f(x)= (1)/(x), x ne 0 .

Show that the function f defined by f(x)= |1-x+|x|| , where x is any real number, is a continuous function.

Is the function defined by f(x)= |x| , a continuous function?

If the function f: { -1, 1} to {0,2} , defined by f(x) = ax+b is a surjection, then find a & b.

Determine if f defined by f(x)={{:(x^(2)sin""(1)/(x)," if "x ne 0),(0," if "x= 0):} is a continuous function?

If f: R to C is defined by f(x) =e^(2ix) AA x in R , then f is (where C denotes the set of all complex numbers)

AAKASH SERIES-FUNCTIONS -EXERCISE -II
  1. The range of the function: f(x) = tan^(-1)[x], -pi/4 le x le pi/4 wh...

    Text Solution

    |

  2. If f:[2, 3] rarr RR is defined by f(x)=x^(3)+3x-2, then the range f(x)...

    Text Solution

    |

  3. The function f: C to C defined by f(x)=(ax+b)/(cx+d) for x in C where ...

    Text Solution

    |

  4. The function sin^(-1)x + cos^(-1)x (-1 le x le 1) is:

    Text Solution

    |

  5. What is a monotonic function?

    Text Solution

    |

  6. The function f:R rarrR is defined by f(x)=3^(-x). Observe the followin...

    Text Solution

    |

  7. If f: C to C where C is set of complex numbers and f(z)=|z|, then/ ...

    Text Solution

    |

  8. If f: C to C such that f(z) =z-barz, AA z in C, then f is:

    Text Solution

    |

  9. If RR rarrC is defined by f(x)=e^(2ix)" for x in RR then, f is (where ...

    Text Solution

    |

  10. If R is the set of all real numbers and if f: R -[2] to R is defined b...

    Text Solution

    |

  11. Let Q be the set of all rational number in [0, 1] and f:[0, 1]rarr[0, ...

    Text Solution

    |

  12. If f: R to R is defined by f(x) = 2x+|x|, then f(3x) -f(-x)-4x=

    Text Solution

    |

  13. If f(x)=(25-x^(4))^(1//4) for 0 lt x lt sqrt5 then f(f((1)/(2)))=

    Text Solution

    |

  14. {x in R: x-[x] =5}=

    Text Solution

    |

  15. The domain of f(x) =1/6sqrt(log(10)(5x-x^(2)) is

    Text Solution

    |

  16. If f: [2,infty) to B defined by f(x) =x^(2)-4x+5 is a bijection, then ...

    Text Solution

    |

  17. If f: N to W is such that f(n) = {{:(n/2, "if n is even"),(0,"if n is ...

    Text Solution

    |

  18. If f:R rarr R, g:R rarr R are defined by f(x)= 5x-3,g(x)=x^(2)+3, then...

    Text Solution

    |

  19. If A={x inR//(pi)/(4)lexle(pi)/(3)} and f(x)=sinx-x, then f(A) is equa...

    Text Solution

    |

  20. If f(x) is a real function defined on [-1,1], then the function g(x) =...

    Text Solution

    |