Home
Class 12
MATHS
The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x...

The equation `sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)` has a. no solution b. one solution c. two solution d. more than two solutions

A

no solution

B

one solution

C

two solutions

D

more than two solutions

Text Solution

Verified by Experts

The correct Answer is:
A
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

The equation |x+1|^(log)_(("x"+1))(3+2-x^(2))=(x-3)|x| has a. unique solution b. two solutions c. no solution d. more than two solution

The equation 2cos^(-1)x+s in^(-1)x=(11 pi)/(6) has a.no solution b.only one solution c .two solutions d.three solutions

Find the solutions of sqrt(x-3)-sqrt(x+9)=sqrt(x-1)

If the equatio sqrt(x+1)-sqrt(x)=a has a solution then

The equation pi^(x)=-2x^(2)+6x-9 has (A) no solution (B) one solution (C) two solutions (D) infinite solutions

The equation 3^(-1)x-pi x-(pi)/(2)=0 has one negative solution one positive solution no solution more than one solution

The equation (x+3-4(x-1)^(1//2))^(1//2)+(x+8-6(x-1)^(1//2))^(1//2)=1 has (A) no solution (B) only 1 solution (C) only 2 solutions (D) more than 2 solutions

Find the values of a for which the equation x^(4)+(1-2a)x^(2)+a^(2)-1=0(A) has no real solutions (B) has one real solution (C) has two distinct real solutions (D) has three real solutions(E) has four distinct real solutions

The number of solutions for sqrt(5x+7)-sqrt(3x+1)=sqrt(x+3) is:

The equation (log)_(x+1)(x- .5)=(log)_(x-0. 5)(x+1) has (A) two real solutions (B) no prime solution (C) one integral solution (D) no irrational solution

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If 2^(x+y)=6^(y) and 3^(x-1)=2^(y+1), then the value of (log3-log2)//(...

    Text Solution

    |

  18. If (7-4sqrt(3))^(x^(2)-4x+3)+(7+4sqrt(3))^(x^(2)-4x+3)=14, then the va...

    Text Solution

    |

  19. If (5+2sqrt6)^(x^(2)-3)+(5-2sqrt6)^(x^(2)-3)=10, then x =

    Text Solution

    |

  20. The roots of the equation (p+sqrt(q))^(x^(2)-15)+(p-sqrt(q))^(x^(2)-15...

    Text Solution

    |