Home
Class 12
MATHS
The true solution set of the inequality,...

The true solution set of the inequality, `sqrt(5x-6-x^2)+(pi/2int_0^x dz)>x int_0^pisin^2xdx` is:

A

`x in(2,3)`

B

`x in(-oo,2)uu(3,oo)`

C

`x in((5)/(2),3)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    FIITJEE|Exercise EXERCISE 1:|4 Videos
  • DEFINITE INTEGRAL

    FIITJEE|Exercise EXERCISE 2:|3 Videos
  • DEFINITE INTEGRAL

    FIITJEE|Exercise SOLVED PROBLEMS (SUBJECTIVE)|12 Videos
  • COMPLEX NUMBER

    FIITJEE|Exercise NUMERICAL BASED|3 Videos
  • DETERMINANT

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

The true solution set of the inequality,sqrt(5x-6-x^(2))+((pi)/(2)int_(0)^(x)dz)>x int_(0)^( pi)sin^(2)xdx

int_0^1 x^2e^xdx

"int_(0)^( pi)x sin^(2)xdx

The set of all solutions of the inequation x^(2)-2x+5<=0 is

int_(0)^( pi/2)x sin xdx

int_(0)^( pi)x sin x cos^(2)xdx

Solve the integral I=int_0^pisin^2xdx .

The solution set of inequation cos x+(1)/(2)>=0 is [-pi,pi] is

int_(0)^( pi/2)sin^(2)x cos xdx

FIITJEE-DEFINITE INTEGRAL -SOLVED PROBLEMS (OBJECTIVE)
  1. lim(xrarroo)((int(0)^(x)e^(t^(2))dt)^(2))/(int(0)^(x)e^(2t^(2))dt) is ...

    Text Solution

    |

  2. Let T >0 be a fixed real number. Suppose f is continuous function such...

    Text Solution

    |

  3. The true solution set of the inequality, sqrt(5x-6-x^2)+(pi/2int0^x dz...

    Text Solution

    |

  4. Let a, b, c be non zero numbers such that int(0)^(3)sqrt(x^(2)+x+1)(...

    Text Solution

    |

  5. Let f be a non-negative function defined on the interval .[0,1].If int...

    Text Solution

    |

  6. Let (a, b) and (lambda,mu) be two points on the curve y = f(x) . If th...

    Text Solution

    |

  7. int(0)^(pi)(1)/(a^(2)-2acosx+1)dx,agt1 is equal to

    Text Solution

    |

  8. If f:RrarrR,f(x) is a differentiable function such that (f(x))^(2)=e...

    Text Solution

    |

  9. If 1=int0^(pi/2)(dx)/(sqrt(1+sin^3x)) then

    Text Solution

    |

  10. Let f(x)=int(2)^(x)f(t^(2)-3t+4)dt. Then

    Text Solution

    |

  11. If f(x)=int(x)^(x^(2))(dt)/((logt)^(2)),xne0 then f(x) is

    Text Solution

    |

  12. Let f:RrarrR be a continuous and bijective function defined such that ...

    Text Solution

    |

  13. Let f:RrarrR be a continuous and bijective function defined such that ...

    Text Solution

    |

  14. Let f:RrarrR be a continuous and bijective function defined such that ...

    Text Solution

    |

  15. The value of the integral int(0)^(npi+v)|sinx|dx" where "ninNand0levle...

    Text Solution

    |

  16. the value of int0^1 e^(2x-[2x]) d(x-[x])

    Text Solution

    |

  17. If f(x)=int1^x(lnt)/(1+t)dt, then

    Text Solution

    |

  18. If int(0)^(x^(2)(1+x))f(t)dt=x, then the value of 25f(2) must be.

    Text Solution

    |

  19. If (pi)/(2)ltalphalt(2pi)/(3)andl=int(0)^(sin2alpha)(dx)/(sqrt(4cos^(2...

    Text Solution

    |

  20. Let f: RvecR be a continuous function which satisfies f(x)= int0^xf(t...

    Text Solution

    |