Home
Class 12
MATHS
Complete set of solution of inequation s...

Complete set of solution of inequation `sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt(x-1))>3/2`

A

`(-oo,1)`

B

`(-oo,1]`

C

`[1,oo)`

D

`(1,oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

  • GEOMETRY

    RESONANCE|Exercise Exercise-1 (Part-I: Previous Asked Question For Pre RMO)|50 Videos

Similar Questions

Explore conceptually related problems

Complete set of solution of inequation (3)/(sqrt(2-x))-sqrt(2-x) lt 2 is

Complete set of solution of inequation sqrt(3x^(2)+5x+7)-sqrt(3x^(2)+5x+2)>1 is (-a,-b)uu(-c,-d) then find the value of a +b+c+d

int_(1)^(5)(sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt(x-1)))dx =

Find number of solutions of the equation sqrt((x+8)+2sqrt(x+7))+sqrt((x+1)-sqrt(x+7))=4

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

sqrt(x)-1/sqrt(x)= x=2-sqrt(3)

" 2.(i) sqrt(3x+1)-sqrt(x-1)=2

If x>1 and (sqrt(x+1)+sqrt(x-1))/(sqrt(x+1)-sqrt(x-1))=2 then x

RESONANCE-FUNDAMENTAL OF MATHEMATICS-Exercise
  1. Complete set of solution of inequation (3)/(sqrt(2-x))-sqrt(2-x) lt 2 ...

    Text Solution

    |

  2. Complete set of solution of inequation sqrt(3x^2+5x+7)-sqrt(3x^2+5x+2)...

    Text Solution

    |

  3. Complete set of solution of inequation sqrt(x+2sqrt(x-1))+sqrt(x-2sqrt...

    Text Solution

    |

  4. If loga a. logc a +logc b. loga b + loga c. logb c=3 (where a, b, c ar...

    Text Solution

    |

  5. Let alpha,beta, are two real solution of equation (log(10)x)^2 + log(1...

    Text Solution

    |

  6. Let a, b, c, d are positive integer such that log(a)b=3//2 and log(c)d...

    Text Solution

    |

  7. The range of real values of 'p' for which the equation 2log3^2 x-|log...

    Text Solution

    |

  8. If log(1/2) ((x^2+6x+9)/(2(x+1)) )< - log2(x+1) then complete set of v...

    Text Solution

    |

  9. The least positive integer x, which satisfies the inequality log(log(x...

    Text Solution

    |

  10. Complete set of solution of equation (log(0.3)(x-2))/(|x|) >= 0

    Text Solution

    |

  11. The solution set of the inequality |9^x-3^(x+1) + 15| < 2.9^x - 3^x i...

    Text Solution

    |

  12. The complete set of values of x satisfying the equation x^2. 2^(x+1)+...

    Text Solution

    |

  13. If f(x)={x}+{x+[(x)/(1+x^(2))]}+{x+[(x)/(1+2x^(2))]}+{x+[(x)/(1+3x^(2)...

    Text Solution

    |

  14. The number of solution of the equation sgn({x})=|1-x| is/are (where {*...

    Text Solution

    |

  15. The complete set of solution of Inequality (x^2-5 x+6 sgn(x))/(x sgn(x...

    Text Solution

    |

  16. (1)/(sin3alpha)[sin^(3)alpha+sin^(3)((2pi)/(3)+alpha)+sin^(3)((4pi)/(3...

    Text Solution

    |

  17. If (m + 2) sintheta + (2m-1) costheta = 2m+1, then

    Text Solution

    |

  18. Let 0le theta le pi/2 x=Xcos theta + Ysin theta y=Xsin theta - Y cos t...

    Text Solution

    |

  19. Let (1+tan1^(ul0))(1+tan2^(ul0))......(1+tan45^(ul0))=2^(k) then k equ...

    Text Solution

    |

  20. The number of solution of 2cosx=|sinx| where x in [0.4pi] is/are

    Text Solution

    |