Home
Class 11
MATHS
sintheta+sqrt(3)costheta=6x-x^2-11 ,0lt=...

`sintheta+sqrt(3)costheta=6x-x^2-11 ,0lt=thetalt=4pi,x in R ,` (a) hold for no values of `x and theta` (b) one value of `x` and two values of `theta` (c) two values of `x` and two values of `theta` (d) two point of values of `(x ,theta)`

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE PUBLICATION|Exercise All Questions|486 Videos

Similar Questions

Explore conceptually related problems

If sintheta+costheta=sqrt2 find the value of theta

If cot theta = x (gt0), then the value of sin theta is-

Find the simplest value of sin theta x tan theta + cos theta

If tan theta + sec theta =e^(x), then the value of cos theta is -

If sec theta+tan theta = x , find the value of sec theta-tan theta

If tan50^@=x and cot(theta+5^@)=1 , then find the value of sec(90^@-theta) in terms of x.

If r costheta = 2sqrt3, r sintheta = 2 and 0^@ < theta < 90^@ , then the value of r and theta are

If 0 lt theta lt pi, then minimum value of 3sintheta+cosec^3 theta is

Equation 1+x^2+2x"sin"(cos^(-1)y)=0 is satisfied by (a) exactly one value of x (b) exactly two value of x (c) exactly one value of y (d) exactly two value of y

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If sinx+cosx=sqrt(y+1/y) for x in [0,pi] , then

    Text Solution

    |

  2. Prove that: t a nalpha+2tan2alpha+4tan4alpha+8cot8alpha=cotalpha

    Text Solution

    |

  3. sintheta+sqrt(3)costheta=6x-x^2-11 ,0lt=thetalt=4pi,x in R , (a) hold...

    Text Solution

    |

  4. If the angles of a triangle are in the ratio 4:1:1, then the ratio of ...

    Text Solution

    |

  5. Find all the solution of 4cos^2xsinx-2sin^2x=3sinx

    Text Solution

    |

  6. If f(theta)=(1-sin2theta+cos2theta)/(2cos2theta) , then value of 8f(1...

    Text Solution

    |

  7. In triangle A B C ,2a csin(1/2(A-B+C)) is equal to

    Text Solution

    |

  8. tan100^0+tan125^0+tan100^0tan125^0 is equal to

    Text Solution

    |

  9. The solution set of the system of equations x+y=(2pi)/3,cosx+cosy=3/2,...

    Text Solution

    |

  10. The positive integer value of n >3 satisfying the equation 1/(sin(pi/n...

    Text Solution

    |

  11. IF the lengths of the side of triangle are 3,5 and 7, then the largest...

    Text Solution

    |

  12. For x in (0, pi) the equation sin x+2 sin 2x-sin 3x=3 has

    Text Solution

    |

  13. Match list-I with list-II and select the correct answer using the code...

    Text Solution

    |

  14. In a triangle ABC, angleB = pi/3 and angleC= pi/4. Let D divide side B...

    Text Solution

    |

  15. If costheta1 =2costheta2, then tan((theta1-theta2)/2)tan((theta1+theta...

    Text Solution

    |

  16. If (cos e c^2theta-4)x^2+(cottheta+sqrt(3))x+cos^2(3pi)/2=0 holds true...

    Text Solution

    |

  17. Which of the following is the value of sin 27^0-cos 27^0? (a) -(s...

    Text Solution

    |

  18. In triangle A B C ,a , b , c are the lengths of its sides and A , B ,C...

    Text Solution

    |

  19. In a A B C , if tanA:tanB :tanC=3:4:5, then the value of sinA sinB ...

    Text Solution

    |

  20. Let tanx-tan^2x >0 and |2sinx|<1 . Then the intersection of which of t...

    Text Solution

    |