Home
Class 10
MATHS
Solve the equation: (x-a)/(x-b)+(x-b)/(x...

Solve the equation: `(x-a)/(x-b)+(x-b)/(x-a)=(a)/(b)+(b)/(a)`

Text Solution

Verified by Experts

The correct Answer is:
`x=0` or `(a+b)`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CENGAGE|Exercise TEST YOURSELF (Level 3)|43 Videos

  • QUADRATIC EQUATIONS

    CENGAGE|Exercise TEST YOURSELF (Multiple Choice Questions) |22 Videos

  • QUADRATIC EQUATIONS

    CENGAGE|Exercise TEST YOURSELF (Level 1)|11 Videos

  • PROGRESSIONS

    CENGAGE|Exercise OLYMPIAD AND NTSE LEVEL EXERCISE |10 Videos

  • RATIONAL EXPRESSIONS

    CENGAGE|Exercise Olympiad and ntse level exercises |10 Videos

Similar Questions

Explore conceptually related problems

Solve the equation : (a)/(x-b)+(b)/(x-a)=2" "(xneb,a)

Solve the following quadratic equations by factorization: (x-a)/(x-b)+(x-b)/(x-a)=(a)/(b)+(b)/(a)

both roots of the equation (x-a)(x-b)+(x-b)(x-c)+(x-c)(x-a)=0 are

Solve: (x+b)/(a-b)=(x-b)/(a+b)

Solve by factorization: (a)/(x-a)+(b)/(x-b)=(2c)/(x-c)

The value of x in the equation: (x-b-c)/(a)+(x-c-a)/(b)+(x-a-b)/(c)=3

CENGAGE-QUADRATIC EQUATIONS -TEST YOURSELF (Level 2)
  1. Solve the equation: (x-a)/(x-b)+(x-b)/(x-a)=(a)/(b)+(b)/(a)

    Text Solution

    |

  2. (16)/(x^(3//2))+(x^(1//2))/(2)=(6)/(x^(1//2))

    Text Solution

    |

  3. Solve the following equations by completing the square : x^(2)-2x=15

    Text Solution

    |

  4. Solve the following equations by completing the square : x^(2)+10x=2...

    Text Solution

    |

  5. Solve the following equations by completing the square : (x-1)(x-2)=...

    Text Solution

    |

  6. Solve the following equations by completing the square : (8-x)/(2)-(...

    Text Solution

    |

  7. Solve the following equations by completing the square : ((x-1))/((x...

    Text Solution

    |

  8. Solve the following equations by completing the square : ax(x-a)=(a-...

    Text Solution

    |

  9. Solve the following equations by completing the square : x^(2)-2ax=1...

    Text Solution

    |

  10. Solve the following using formula : x^(2)+3x-4=0

    Text Solution

    |

  11. Solve the following using formula : x^(2)=4(x-1)

    Text Solution

    |

  12. Solve the following using formula : 2x^(2)+(3)/(4)x=(5)/(16)

    Text Solution

    |

  13. Solve the following using formula : 12x^(2)+9x=9^(2)

    Text Solution

    |

  14. Solve the following using formula : (a-b)^(2)x^(2)-(a-b)^(2)x-ab=0

    Text Solution

    |

  15. Solve the following : 9x^(4)-148x^(2)+64=0

    Text Solution

    |

  16. Solve the following : 8sqrt((x)/(x+3))+sqrt((x+3)/(x))=6

    Text Solution

    |

  17. Solve the following : x^(-2)-2x^(-1)=63

    Text Solution

    |

  18. Solve the following : x^(2//3)-2x^(1//3)-15=0

    Text Solution

    |

  19. Solve the following : 7^(x+1)+7^(1-x)=50

    Text Solution

    |

  20. 2(x^(2)+(1)/(x^(2)))-9(x+(1)/(x))+14=0

    Text Solution

    |