Home
Class 12
MATHS
If the equation ln (x^(2) +5x ) -ln (x+a...

If the equation ln `(x^(2) +5x ) -ln (x+a +3)=0` has exactly one solution for x, then possible integral value of a is:

A

`-3`

B

`-1`

C

0

D

2

Text Solution

Verified by Experts

The correct Answer is:
B, C, D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|23 Videos
  • QUADRATIC EQUATIONS

    VK JAISWAL|Exercise EXERCISE (MATCHING TYPE PROBLEMS)|3 Videos
  • QUADRATIC EQUATIONS

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|45 Videos
  • PROBABILITY

    VK JAISWAL|Exercise Exercise -5 : Subjective Type problems|12 Videos
  • SEQUENCE AND SERIES

    VK JAISWAL|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

Similar Questions

Explore conceptually related problems

If the equation In(x^(2)+5x)-In(x+a+3)=0 has exactly one solution for x, then number of integers in the range of a is:

If the equation x^(log_(a)x^(2))=(x^(k-2))/a^(k),a ne 0 has exactly one solution for x, then the value of k is/are

If f(x)=x ln x-2, then show that f(x)=0 has exactly one root in the interval (1,e).

If equation log_(4)(2log_(3)(6+log_(2)(x^(2)+kx+9)))=1 has exactly two distinct real solutions,then least positive integral value of k,is

The number of integral values of n (where n>=2 ) such that the equation 2n{x}=3x+2[x] has exactly 5 solutions. { Here {x} is fractional part of x and [x] is integral part of x}

Find the possible values of p such that the equation px^(2)=ln x has exactly one solution.

The equation (log(35-x^(3)))/(log(5-x))=3, has

The equation log_(x^(2))16+log_(2x)64=3 has (a) one irrational solution (b) no prime solution two real solutions (d) no integral solution

If a in R and the equation (a-2) (x-[x])^(2) + 2(x-[x]) + a^(2) = 0 (where [x] denotes the greatest integer function) has no integral solution and has exactly one solution in (2, 3), then a lies in the interval

The equation 2log(x+3)=log(alphax) has only one solution if

VK JAISWAL-QUADRATIC EQUATIONS -EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
  1. Let f (x) =x ^(2) -4x +c AA x in R, where c is a real constant, then w...

    Text Solution

    |

  2. If 0 lt a lt b lt c and the roots alpha, beta of the equation ax ^(2)...

    Text Solution

    |

  3. If satisfies |x-1| + |x-2|+|x-3|gt6, then :

    Text Solution

    |

  4. If both roots of the quadratic equation ax ^(2)+x+b-a =0 are non real ...

    Text Solution

    |

  5. If a,b are two numbers such that a ^(2) +b^(2) =7 and a ^(3) + b^(3) =...

    Text Solution

    |

  6. The number of non-negative integral ordered pair (s) (x,y) for which ...

    Text Solution

    |

  7. If alpha, beta, gamma and delta are the roots of the equation x ^(4) -...

    Text Solution

    |

  8. The value of 'k' for which roots of the equation 4x^2-2x+k=0 are comp...

    Text Solution

    |

  9. If a,b,c in R, then for which of the following graphs of the quadrati...

    Text Solution

    |

  10. If a x^2+b x+c=0,a ,b ,c in R has no real zeros, and if c<o , then wh...

    Text Solution

    |

  11. If alpha and beta are the roots of the equation ax ^(3) + bx + c=0,a,b...

    Text Solution

    |

  12. The equation cos ^(2) x - sin x+lamda = 0, x in (0, pi//2) has roots t...

    Text Solution

    |

  13. If the equation ln (x^(2) +5x ) -ln (x+a +3)=0 has exactly one solutio...

    Text Solution

    |

  14. The number of non-negative integral ordered pair (s) (x,y) for which ...

    Text Solution

    |

  15. If a lt 0, then the value of x satisfying x ^(2)-2a|x-a| -3a ^(2)=0 i...

    Text Solution

    |

  16. If 0 lt a lt b lt c and the roots alpha, beta of the equation ax ^(2)...

    Text Solution

    |

  17. Solve : | x - 1| + |x - 2| + | x - 3 | gt 6

    Text Solution

    |

  18. The value of 'k' for which roots of the equation 4x^2-2x+k=0 are comp...

    Text Solution

    |

  19. Let alpha , beta, gamma, delta are roots of x ^(4) -12x ^(3) +lamda x ...

    Text Solution

    |

  20. If the points ((a^3)/(a-1),(a^2-3)/(a-1)),((b^3)/(b-1),(b^3-3)/(b-1))a...

    Text Solution

    |