Home
Class 12
MATHS
The range of the function tan^(-1)((x^2+...

The range of the function `tan^(-1)((x^2+1)/(x^2+sqrt(3))),x in R` is a.`[pi/6,pi/2)` b. `[pi/6,pi/3)` c. `[pi/6,pi/4]` d. none of these

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

The range of f(x)=sin^(-1)((x^2+1)/(x^2+2)) is (a) [0,pi/2] (b) (0,pi/6) (c) [pi/6,pi/2] (d) none of these

The range of f(x)=sin^(-1)(sqrt(x^2+x+1)) i s (a) (0,pi/2) (b) (0,pi/3) (c) [pi/3,pi/2] (d) [pi/6,pi/3]

Range of the function : f(x)=log_2((pi+2sin^(- 1)((3-x)/7))/pi)

Range of tan^(-1)((2x)/(1+x^2)) is (a) [-pi/4,pi/4] (b) (-pi/2,pi/2) (c) (-pi/2,pi/4) (d) [pi/4,pi/2]

Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (a) (pi/4,(3pi)/4) (b) [pi/4,(3pi)/4] (c) {pi/4,(3pi)/4} (d) none of these

The range of f(x)=sec^(-1)((log)_3tanx+(log)_(tanx)3) is (a) [pi/3,pi/2)uu(pi/2,(2pi)/3] (b) [0,pi/2] (c) ((2pi)/3,pi) (d) none of these

The value of c in Lagranges theorem for the function f(x)=logsinx in the interval [pi/6,(5pi)/6] is (a) pi/4 (b) pi/2 (c) (2pi)/3 (d) none of these

Solve the equation sin^(-1)6 x+sin^(-1)6sqrt(3)x=(-pi)/2dot

The range of f(x)=cos^(-1)((1+x^2)/(2x))+sqrt(2-x^2) is {0,1+pi/2} (b) {0,1+pi) {1,1+pi/2} (d) {1,1+pi}

Solve the equation sin^-1 6x + sin^-1 6sqrt3 x = -pi/2

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Number of integers in domain of function f(x) =log(|x^2|)(4-|x|)+log2...

    Text Solution

    |

  2. Range of the function f(x)=sqrt(cos^(- 1)(sqrt(log4x))-pi/2)+sin^(- 1)...

    Text Solution

    |

  3. The range of the function tan^(-1)((x^2+1)/(x^2+sqrt(3))),x in R is ...

    Text Solution

    |

  4. The function f(x)=cos^(-1)((2[|sinx|+|cosx|])/(sin^2x+2sinx+11/4)) is ...

    Text Solution

    |

  5. Which of the folllowing functions are defined for all x (A) sin[x]+ ...

    Text Solution

    |

  6. The domain of the function f(x)=log(e){sgn(9-x^(2))}+sqrt([x]^(3)-4[x]...

    Text Solution

    |

  7. Number of integers in the range of f(x)=1/pi(sin^(-1)x+tan^(-1)x)+(x+1...

    Text Solution

    |

  8. If f(x) is an invertible function and g(x)=2f(x)+5, then the value of ...

    Text Solution

    |

  9. Which of the following functions is one-one ? (1)f:R->R defined as f...

    Text Solution

    |

  10. Which of the following statements are incorrect? I. If f(x) and g(x) a...

    Text Solution

    |

  11. Let f : R^+ ->{-1, 0, 1} defined by f(x) = sgn(x-x^4 + x^7-x^8-1) wher...

    Text Solution

    |

  12. Let f(x) :R->R,f(x)={(2x+alpha^2,xge2),((alpha x)/2+10,x lt 2)) If f(...

    Text Solution

    |

  13. Let f: R-> R, be defined as f(x) = e^(x^2)+ cos x, then f is (a) one-o...

    Text Solution

    |

  14. Let A be a non- empty set of real numbers and f:A->A be such that f(f(...

    Text Solution

    |

  15. Let f:[-oo,0)->(1,oo) be defined as f(x)=(1+sqrt(-x))-(sqrt(-x)-x) the...

    Text Solution

    |

  16. Let f:R->[1,oo) be defined as f(x)=log10(sqrt(3x^2-4x+k+1)+10) If f(x)...

    Text Solution

    |

  17. Suppose f is a real function satisfying f(x+f(x))=4f(x) and f(1)=4. Th...

    Text Solution

    |

  18. Consider a differentiable function f:R->R for which f'(0)=ln2 and f(x...

    Text Solution

    |

  19. Suppose f(x)=a x+ba n dg(x)=b x+a ,w h e r eaa n db are positive integ...

    Text Solution

    |

  20. The graph of a function y=g(x) is shown in the following figure. If...

    Text Solution

    |