Home
Class 11
MATHS
If roots of the equation 2x^2-4x+2sinthe...

If roots of the equation `2x^2-4x+2sintheta-1=0` are of opposite sign, then `theta` belongs to `(pi/6,(5pi)/6)` (b) `(0,pi/6)uu((5pi)/6,pi)` `((13pi)/6,(17pi)/6)` (d) `(0,pi)`

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

The value of theta in (0,2pi) for which 2sin^2theta-5sintheta+2>0 is (0,pi/6)uu((5pi)/6,2pi) (b) (pi/8,(pipi)/6) (0,pi/8)uu(pi/6pi/6) (d) ((41pi)/(48),pi)

Let 2sin^2x+3sinx-2>0a n dx^2-x-2<0(x is measured in radians). Then x lies in the interval (pi/6,(5pi)/6) (b) (-1,(5pi)/6) (-1,2) (d) (pi/6,2)

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

If a , b in [0,2pi] and the equation x^2+4+3sin(a x+b)-2x=0 has at least one solution, then the value of (a+b) can be (a) (7pi)/2 (b) (5pi)/2 (c) (9pi)/2 (d) none of these

The equation (cosp-1)x^2+(cos p)x+sin p=0 in the variable x has real roots. The p can take any value in the interval (a) (0,2pi) (b) (-pi,0) (c) (-pi/2,pi/2) (d) (0,pi)

In which of the following sets the inequality sin^6x+cos^6x >5/8 holds good? (a) (-pi/3,pi/8) (b) ((3pi)/8,(5pi)/8) (c) (pi/4,(3pi)/4) (d) ((7pi)/8,(9pi)/8)

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in (-pi/2,pi/4) (b) (0,pi/2) (-pi/2,pi/2) (d) (pi/4,pi/2)

In which of the following intervals the inequality, sinx < cos x < tanx < cot x can hold good ? (a) ((7pi)/4,2pi) (b) ((3pi)/4,pi) (c) ((5pi)/4,(3pi)/2) (d) (0,(pi)/4)

cos((2pi)/7)+cos((4pi)/7)+cos((6pi)/7)

denote the positive solution of the equation 3+3costheta=2sin^2thetadot The value of theta_3+theta_7 is 3 pi (b) 4 pi (c) 5 pi (d) 6 pi

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. O is the circumcenter of A B Ca n dR1, R2, R3 are respectively, the r...

    Text Solution

    |

  2. The expression (tan^4x+2tan^2x+1)cos^2x ,w h e nx=pi/(12), can be equ...

    Text Solution

    |

  3. If roots of the equation 2x^2-4x+2sintheta-1=0 are of opposite sign, t...

    Text Solution

    |

  4. The variable x satisfying the equation |sinxcosx|+sqrt(2+tan^2+cot^2x)...

    Text Solution

    |

  5. In A B C ,C=60^0a n dB=45^0dot Line joining vertex A of triangle and ...

    Text Solution

    |

  6. If A+B+C=pi, prove that tan^2(A/2)+tan^2(B/2)+tan^2(C/2)geq1.

    Text Solution

    |

  7. A triangle has sides 6,7, and 8. The line through its incenter para...

    Text Solution

    |

  8. P(9,2) = P(x,2).Find x.

    Text Solution

    |

  9. If |2sintheta-cos e ctheta|geq1 and theta!=(npi)/2,n in Z , then cos2...

    Text Solution

    |

  10. Let fn(theta)=(cos(theta/2)+cos2theta+cos((7theta)/2)+....+cos(3n-2)(t...

    Text Solution

    |

  11. Each side of triangle ABC is divided into three equal parts. Find the ...

    Text Solution

    |

  12. Which of the following is not the solution of the equation sin5x=16sin...

    Text Solution

    |

  13. (1+tanalphatanbeta)^2+(tanalpha-tanbeta)^2=

    Text Solution

    |

  14. If cot^3alpha+cot^2alpha+cotalpha=1 then (a) cos2alpha.tanalpha=-1 ...

    Text Solution

    |

  15. Find the range of f(x)=sqrt(sin^2x-6sinx+9)+3

    Text Solution

    |

  16. The number of solution of the equation |2sinx-sqrt(3)|^(2cos^(2)x-3cos...

    Text Solution

    |

  17. In triangle A B C ,l e tR=c i r c u m r a d i u s ,r= i n r a d i u ...

    Text Solution

    |

  18. The expression cos^2(alpha+beta)+cos^2(alpha-beta)-cos2alpha.cos2beta,...

    Text Solution

    |

  19. In triangle ABC, if A - B = 120 and R = 8r, where R and r have their u...

    Text Solution

    |

  20. The sum of all the solution in [0,4pi] of the equation tanx+cotx+1=co...

    Text Solution

    |