Home
Class 9
MATHS
The root of the equation (x-1)/(x-2) + (...

The root of the equation `(x-1)/(x-2) + (x-3)/(x-4) = 2'1/3`.
(where `alpha ne 2,4`) are

A

`6+sqrt(10) , 6-sqrt(10)`

B

`6+2sqrt(10), 6-sqrt(10)`

C

`6+6sqrt(10), 6-6sqrt(10)`

D

`2+2sqrt(10), 6-2sqrt(10)`

Text Solution

Verified by Experts

The correct Answer is:
A
(i) Simplify the equation 1.
(ii) Take the LCM of the equation.
(iii) Convert it into quadratic equation.
(iv) Solve the equation for x.
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|23 Videos

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    PEARSON IIT JEE FOUNDATION|Exercise Level 1|30 Videos

  • PROBABILITY

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|8 Videos

  • RATIO, PROPORTION AND VARIATION

    PEARSON IIT JEE FOUNDATION|Exercise Leval 3|10 Videos

Similar Questions

Explore conceptually related problems

The roots of the equtation (x-3)/(x-2) + (2x)/(x+3) = 1 , where x ne 2, -3 are

The roots of the equation (x+(1)/(x))^(2)=4+(3)/(2)(x-(1)/(x)) are

The roots of the equations |{:(1+x,3,5),(2,2+x,5),(2,3,x+4):}| = 0 are

If alpha and beta are the roots of the equation (x-2)(x-3)+(x-3)(x+1)+(x+1)(x-2)=0 then the value of (1)/((alpha+1)(beta+1))+(1)/((alpha-2)(beta-2))+(1)/((alpha-3)(beta-3)) is

The root of equaltion x^(2)-x+1=(1)/(2)+sqrt(x-(3)/(4)),x>=(3)/(4) is

The roots of the equation,(x^(2)+1)^(2)=x(3x^(2)+4x+3) are given by -

If alpha and beta are the roots of the quadratic equation x^(2) + 3x - 4 = 0 , then alpha^(-1) + beta^(-1) = "_____" .

PEARSON IIT JEE FOUNDATION-QUADRATIC EXPRESSIONS AND EQUATIONS-Level 2
  1. If one of the roots of x^2+(1+k)x+2k=0 is twice the other, then (a^2+b...

    Text Solution

    |

  2. If alpha and beta are the roots of 2x^(2) - x - 2 = 0, then (alpha^(3...

    Text Solution

    |

  3. In a right angled triangle one of the perpendicular sides is 4 cm grea...

    Text Solution

    |

  4. In a friction, the denominator is 1 less than the numerator. The sum o...

    Text Solution

    |

  5. The length of the rectangular surface of a table is 10m more than its ...

    Text Solution

    |

  6. If alpha and beta the roots of the equation x^(2) + 9x + 18 = 0, then ...

    Text Solution

    |

  7. Find the minimum value of the quadratic expression 4x^(2) -3x + 4.

    Text Solution

    |

  8. If (x+2) is a common factor of the expression x^(2) + ax - 6, x^(2) +...

    Text Solution

    |

  9. The roots of a pure quadratic equation exists only if "".

    Text Solution

    |

  10. The root of the equation (x-1)/(x-2) + (x-3)/(x-4) = 2'1/3. (where a...

    Text Solution

    |

  11. If x+3 is the common factor of the expreassions ax^(2) + bx + 1 and px...

    Text Solution

    |

  12. If the sum of the roots of an equation x^(2) + px + 1 = 0(p gt 0) is ...

    Text Solution

    |

  13. The equation x + 5/(3-x) = 3 + (5)/(3-x) has

    Text Solution

    |

  14. The roots of the equation (1)/(2x-3) - (1)/(2x+5) = 8 are

    Text Solution

    |

  15. If the quadratic expression x^(2) + (a-4)x + (a+4) is a perfect square...

    Text Solution

    |

  16. The minimum value of 2x^(2) - 3x+ 2 is "".

    Text Solution

    |

  17. The roots of x^(2) - 2x-1= 0 are "".

    Text Solution

    |

  18. if 2x^(2) + 4x - k = 0 is same as (x-5) (x+k/10) = 0, then find the ...

    Text Solution

    |

  19. If the numerically smaller root of x^(2) + mx = 2 is 3 more than the o...

    Text Solution

    |