Home
Class 12
MATHS
Root(s) of the equatio 9x^(2) - 18|x|+5 ...

Root(s) of the equatio `9x^(2) - 18|x|+5 = 0` belonging to the domain of definition of the function `f(x) = log(x^(2) - x - 2)`, is (are)

A

`-(5)/(3),-(1)/(3)`

B

`(5)/(3),(1)/(3)`

C

`-(5)/(3)`

D

`-(1)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (2) (true and false)|1 Videos
  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (2) (fill in the blanks)|14 Videos
  • LOGARITHMS AND SURDS

    ML KHANNA|Exercise Problem Set (1) (Fill in the blanks)|9 Videos
  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Self Assessment Test|8 Videos
  • MATHEMATICAL REASONING

    ML KHANNA|Exercise PROBLEM SET (2) ASSERTION/REASON|3 Videos

Similar Questions

Explore conceptually related problems

Find the domain of definition of the function f(x) = sqrt(x^(2) - 25)

The domain of definition of the function f(x) = sqrt(log_(x^(2)-1)) x is

Find the domain of definition of the function f(x) = sqrt(64 - x^(2)) .

The domain of definition of function f(x)=log(sqrt(x^(2)-5x-24)-x-2) , is

Domain of the function f(x)=log|x^(2)-7x+12|

The domain of definition of the function f(x)= sin^(-1) (|(x-1)|-2) is

Domain of definition of the function f(x)=log_(2)(1-3^((1)/(x)-1)) is

ML KHANNA-LOGARITHMS AND SURDS-Problem Set (2) (Multiple choice questions)
  1. The number of real roots of the equation |x|^(2) -3|x| + 2 = 0, is

    Text Solution

    |

  2. The sum of the roots of equation (x-4)^(2)-8|x-4|+15=0 is

    Text Solution

    |

  3. Root(s) of the equatio 9x^(2) - 18|x|+5 = 0 belonging to the domain of...

    Text Solution

    |

  4. The equation |x-x^(2)-1|=|2x-3-x^(2)| has

    Text Solution

    |

  5. The sum of the real roots of the equation |x-2|^(2)+|x-2|-2=0 is

    Text Solution

    |

  6. The product of real roots of the equation |3x-4|^(2)-3|3x-4|+2=0 is

    Text Solution

    |

  7. The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) has a. no solution b. o...

    Text Solution

    |

  8. The number of the integer solutions of x^(2)+9lt(x+3)^(2)lt8x+25 is

    Text Solution

    |

  9. The solution set of the inequality log(x)((x+3)/(1-2x))gt1 is

    Text Solution

    |

  10. The least positive integer x satisfying |x+1|+|x-4|gt7 is

    Text Solution

    |

  11. Solve sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))=1

    Text Solution

    |

  12. The number of values of x satisfying 1+log(5)(x^(2)+1)gelog(5)(x^(2)+4...

    Text Solution

    |

  13. The number of solutions the equation |x+1|^(log(x+1)(3+2x-x^(2)))=(x-3...

    Text Solution

    |

  14. If log(5)(6+(2)/(x))+log((1//5))(1+(x)/(10))le1, then x lies in

    Text Solution

    |

  15. The quadratic equations Sigma ((x-q)(x-r))/((p-q)(p-r))-1=0 or Sigma (...

    Text Solution

    |

  16. The number of solutions of the equation root3((1+x))+root3((8-x))=3 i...

    Text Solution

    |

  17. The number of solutions of the equation 2^(x)+2^(x-1)+2^(x-2)=5^(x)+5^...

    Text Solution

    |

  18. The number of solutions of the equation 2x^(log(10)x)+3x^(log(10)(1//x...

    Text Solution

    |

  19. The system of equation |x-1|+3y=4,x-|y-1|=2 has

    Text Solution

    |

  20. The roots of the equation 2^(x+2)27^(x//(x-1))=9 are given by

    Text Solution

    |