Home
Class 12
MATHS
The smallest positive root of the equati...

The smallest positive root of the equation `tanx-x=0` lies in `(0,pi/2)` (b) `(pi/2,pi)` `(pi,(3pi)/2)` (d) `((3pi)/2,2pi)`

A

`(0, pi//2)`

B

`(pi//2, pi)`

C

`(pi, 3 pi//2)`

D

`(3 pi//2, 2 pi)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|4 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    OBJECTIVE RD SHARMA|Exercise Exercise|22 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

The smallest positive root of the equation tan x-x=0 lies in (0,(pi)/(2)) (b) ((pi)/(2),pi)(pi,(3 pi)/(2)) (d) ((3 pi)/(2),2 pi)

The least positive solution of cot(pi/(3sqrt3) sin2x)=sqrt3 lie (a) sin(0,pi/6) (b) (pi/9,pi/6) (c) (pi/12,pi/9) (d) (pi/3,pi/2)

The smallest positive x satisfying the equation log_(cos x)sin x+log_(sin x)cos x=2 is (pi)/(2)(b)(pi)/(3)(c)(pi)/(4)(d)(pi)/(6)

The number of roots of the equation cot x=(pi)/(2)+x in [-pi,(3 pi)/(2)] is

One root of the equation cos x-x+(1)/(2)=0 lies in the interval (A)[0,(pi)/(2)](B)[-(pi)/(2),0] (C) [(pi)/(2),0] (D) none

The number of roots of the equation x^(3)+x^(2)+2x+sin x=0 in (-2 pi,2 pi)

One of the root equation cos x-x+(1)/(2)=0 lies in the interval (0,(pi)/(2))(b)(-(pi)/(2,0))(c)((pi)/(2),pi)(d)(pi,(3 pi)/(2))

Find the number of solution of the equation x^(3)+2x+cosx+tanx=0 in (-(pi)/(2),(pi)/(2))

OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. The most general solution of "tan " theta = -1, "cos" theta = (1)/(sqr...

    Text Solution

    |

  2. If sin x +icos 2x,and cosx-isin2x are conjugate to each other then x=

    Text Solution

    |

  3. The smallest positive root of the equation tanx-x=0 lies in (0,pi/2) ...

    Text Solution

    |

  4. The number of solutions of the equation "sin" x = "cos" 3x "in" [0, pi...

    Text Solution

    |

  5. The most general values oro satisfying tan theta + tan((3pi)/4+theta)=...

    Text Solution

    |

  6. If "sec" theta "tan" theta =sqrt(2),"then" theta=

    Text Solution

    |

  7. The number of solutions of the equation "tan" x + "sec"x = 2"cos" x ly...

    Text Solution

    |

  8. If "cot" theta "cot" 7 theta + "cot" theta "cot" 4 theta + "cot" 4 the...

    Text Solution

    |

  9. The number of values of x in [0, 5 pi] satisfying the equation 3"cos" ...

    Text Solution

    |

  10. The number of values of x in [0, 2 pi] that satisfy "cot" x -"cosec"x ...

    Text Solution

    |

  11. "cot" theta = "sin" 2 theta, theta ne n pi, n in Z, "if" theta equals

    Text Solution

    |

  12. The solution of the equation "cos"^(2) x-2 "cos" x = 4 "sin" x - "si...

    Text Solution

    |

  13. If 1/6sintheta,costheta,tantheta are in GdotPdot, then theta is equal ...

    Text Solution

    |

  14. Number of solutions of the equation "sin" 2 theta + 2 = 4"sin" theta +...

    Text Solution

    |

  15. If "sin" 2x, (1)/(2) " and cos" 2x are in A.P., then the general valu...

    Text Solution

    |

  16. The number of points of intersection of the curves 2y =1 " and " y = "...

    Text Solution

    |

  17. For m ne n, if "tan" m theta = "tan" n theta, then different values of...

    Text Solution

    |

  18. cosp theta=cosq theta, p!=q,thetn

    Text Solution

    |

  19. Solutions of the equations "cos"^(2) ((1)/(2) px)+ "cos"^(2) ((1)/(2) ...

    Text Solution

    |

  20. If ("sec" theta 1)- (sqrt(2)-1) "tan" theta, "then" theta =

    Text Solution

    |