Home
Class 12
MATHS
The number of solutions of sqrt(x +1) - ...

The number of solutions of `sqrt(x +1) - sqrt(x - 1) = 1" " (x in R)` is

A

1

B

2

C

4

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Level 2 (Straight Objective Type Questions))|21 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Numerical Answer Type Questions)|18 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

The number of real solution of sqrt(x + 8) + sqrt( x - 1) = 9 is _____

Number of real solutions of sqrt(x)+sqrt(x-sqrt(1-x))=1 is

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

sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)

The number of solution of sqrt3Cos^2x=(sqrt3-1)Cosx+1 , x in [0,pi/2]

The number of the solutions of the equation 2 sin^(-1) sqrt(x^(2) + x + 1) + cos^(-1) sqrt(x^(2) + x) = (3pi)/(2) is

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

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Solved Examples (Level 1 ( Single Correct Answer Type Questions)
  1. Solve for x: 4^(x) - 3^(x-1/2)=3^(x+1/2)-2^(2x-1).

    Text Solution

    |

  2. If x^2+2ax+10-3a gt0 for all x in R then

    Text Solution

    |

  3. The number of solutions of sqrt(x +1) - sqrt(x - 1) = 1" " (x in ...

    Text Solution

    |

  4. If a, b, c are real and a!=b, then the roots ofthe equation, 2(a-b)x^2...

    Text Solution

    |

  5. Let a gt 0, b gt 0 and c lt0. Then, both the roots of the equation ax^...

    Text Solution

    |

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

    Text Solution

    |

  7. If the roots of the equation (4a - a^(2) - 5) x^(2)- (2a - 1) x + 3a =...

    Text Solution

    |

  8. Let alpha,beta be the roots of the equation ax^2+bx+c=0. A root of the...

    Text Solution

    |

  9. If P(x)=ax^2+bx+c, Q(x)=-ax^2+dx+c where ac!=0 then P(x).Q(x)=0 has

    Text Solution

    |

  10. If the product of the roots of the equation x^(2) - 5 kx + 2e^(4"Ink")...

    Text Solution

    |

  11. alpha,beta be the roots of the equation x^2-px+r=0 and alpha/2 , 2beta...

    Text Solution

    |

  12. Sum of all the values of x satisfying the equation log(17) log(11) (...

    Text Solution

    |

  13. If 1/ sqrt(alpha) and 1/sqrt(beta) are the roots of equation a x^2 + ...

    Text Solution

    |

  14. If p and q are the roots of x^2 + px + q = 0, then find p.

    Text Solution

    |

  15. sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)

    Text Solution

    |

  16. The sum of all the real roots of the equation |x-2|^2+|x-2|-2=0 is

    Text Solution

    |

  17. Let alpha and beta be roots of the equation X^(2)-2x+A=0 and let gamma...

    Text Solution

    |

  18. In a triangle PQR, angleR = pi //2. If tan (P/2) and tan (Q/2) are th...

    Text Solution

    |

  19. If alpha and beta (alpha lt beta) are the roots of the equation x^(2) ...

    Text Solution

    |

  20. For the equation 3x^2+p x+3=0,p >0, if one of the root is square of th...

    Text Solution

    |