Home
Class 12
MATHS
If y=f(x) =(px+q)/(rx-p), show that x = ...

If `y=f(x) =(px+q)/(rx-p),` show that x = f(y).

Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Long Answer Type Questions|72 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Multiple Correct answer Type|5 Videos

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Very short answer type questions|80 Videos

  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos

  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

If y = f(x) = 5 , show that Delta y = 0 .

If f(x)=e^(px+q) , then show that f(a).f(b).f(c)=f(a+b+c).e^(2q)

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

If f(x) = (x-1)/(x+1) , then prove that (f(x)-f(y))/(1+f(x)f(y))=(x-y)/(1+xy) .

If f(x + y) = f(x)f(y) for all x, y and and f(x) = 1 + x g(x), where lim_(xrarr0)g(x)=1 ) , show that f'(x) = f(x).

If f(x)=e^(px+q) ,then shoq that f(a).f(b).f(c)=f(a+b+c).e^(2q)

If f(x)=cos(logx) ,show that f(x)f(y)-1/2 [ f (x/y) + f(xy) ]=0

If (x+y) prop (x-y) , then prove that (ax +by) prop (px+qy) where a ,b ,p, q are non -zero variation constant.

Find the differential coefficient of the following: If x^py^q=(x+y)^(p+q) then show that dy/dx=y/x

A function f (x) is defined for all x in R and satisfies, f(x + y) = f (x) + 2y^2 + kxy AA x, y in R , where k is a given constant. If f(1) = 2 and f(2) = 8 , find f(x) and show that f (x+y).f(1/(x+y))=k,x+y != 0 .

CHHAYA PUBLICATION-RELATION AND MAPPING -Short Answer Type Question
  1. If f(x)=(1)/(1-x), show that, f[f{f(x)}]=x

    Text Solution

    |

  2. If y=f(x)=(ax-b)/(bx-a), prove that f(x).f(1/x) is independent of x.

    Text Solution

    |

  3. If y=f(x) =(px+q)/(rx-p), show that x = f(y).

    Text Solution

    |

  4. If y=f(x)=(3x-5)/(2x-m)and f(y)=x, find the value of m.

    Text Solution

    |

  5. If y=f(x)=(x-3)/(2x+1)and z=f(y), express z as a function of x.

    Text Solution

    |

  6. If F(x)=(4x-5)/(3x-4), prove that F{F(x)} = x.

    Text Solution

    |

  7. If f(x)=(a-x^n)^(1/n)," where "a gt0 and n is a positive integer, show...

    Text Solution

    |

  8. If phi(x)=(1-x)/(1+x) prove that phi{phi(x)}=x

    Text Solution

    |

  9. If phi(x)=(1-x)/(1+x) prove that phi{phi(cottheta)}=cottheta

    Text Solution

    |

  10. If f(x)=tan^-1x, find the relation by which f(x),f(y) and f(x+y) are...

    Text Solution

    |

  11. The function phi(x) is defined as follows: phi(x)=4, " when x is rat...

    Text Solution

    |

  12. Let f(x)=2x^2-3," when "x le2 =2x+1," when "2ltxle3 =(1)/(2x-1)," ...

    Text Solution

    |

  13. Find the values of x for which the following functions are undefined: ...

    Text Solution

    |

  14. Find the values of x for which the following functions are undefined: ...

    Text Solution

    |

  15. Find the values of x for which the following functions are undefined: ...

    Text Solution

    |

  16. Find the values of x for which the following functions are undefined: ...

    Text Solution

    |

  17. Find the values of x for which the following functions are undefined: ...

    Text Solution

    |

  18. If the maximum and minimum value of f(x)=a+b sin x be 7 and 1 respecti...

    Text Solution

    |

  19. If f(x)=ax^2+bx+c and f(x+1) =f(x)+x+1 is an identify, find the values...

    Text Solution

    |

  20. If f(x)=x^2+ax+bandf(1)=1,f(2)=2, find the value of f(3).

    Text Solution

    |