Home
Class 12
MATHS
If sin theta+sqrt(3)costheta=6y-y^2-11 ...

If `sin theta+sqrt(3)costheta=6y-y^2-11 ,theta in [0, 4pi], y in R` holds for

A

No value of y and two values of `theta`

B

One value of y and two values of `theta`

C

Two values of y and one value of `theta`

D

Two pairs of `(y,theta)`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section D (Linked Comprehension Type Questions)|24 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section E (Assertion-Reason Types Questions)|18 Videos

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section-B (Objective Type Questions One option is correct)|131 Videos

  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos

  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

sin theta+sqrt(3)cos theta=6y-y^(2)-11,theta in[0,4 pi],y in R holds for

sin theta+sqrt(3)cos theta=6x-x^(2)-11,0<=4 theta pi,x in R hold for no values of x and theta one value of x and two values of theta two values of x and two values of theta two point of values of (x,theta)

If beta is one of the angles between the normals to the ellipse, x^2+3y^2=9 at the points (3 cos theta, sqrt(3) sin theta)" and "(-3 sin theta, sqrt(3) cos theta), theta in (0,(pi)/(2)) , then (2 cos beta)/(sin 2 theta) is equal to:

If sintheta=sqrt(3)costheta,-pi

If x=2sin theta-sin2 theta and y=2cos theta-cos2 theta , theta in[0,2 pi], then (d^(2)y)/(dx^(2)) at theta=pi is

If : sin theta= sqrt3*costheta, "then" : 2(sin theta+costheta)-1=

If r sin theta=sqrt(3),r+4sin theta=2(sqrt(3)+1), and 0<=theta<=2 pi, then theta=

If x sin^(3) theta + y cos^(3) theta = sin theta cos theta ne 0 and x sin theta - y cos theta = 0 , then value of (x^(2) + y^(2)) is :

If costheta +sin theta= sqrt(2)cos theta , then prove that costheta-sintheta =sqrt(2)sin theta

AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section-C (Objective Type Questions More than one options are correct )
  1. If alpha in [-2pi, 2pi] and cos.(alpha)/(2)+sin.(alpha)/(2)=sqrt(2)(co...

    Text Solution

    |

  2. If sintheta= a for e xactly one value of theta in [0,(7pi)/3], then ...

    Text Solution

    |

  3. If sin theta+sqrt(3)costheta=6y-y^2-11 ,theta in [0, 4pi], y in R ho...

    Text Solution

    |

  4. Solve the equation sinx + sqrt(3)cosx=sqrt(2)

    Text Solution

    |

  5. (1-tanx)/(1+tanx)=tanyandx-y=pi/6,t h e nx , y

    Text Solution

    |

  6. The possible value of theta in [-pi, pi] satisfying the equation 2(co...

    Text Solution

    |

  7. The number of all possible triplets (p, q, r) such that p + qcos2theta...

    Text Solution

    |

  8. sinalpha*sin(60-alpha)sin(60+alpha) = 1/4*sin3alpha

    Text Solution

    |

  9. The co-ordinates of points of intersection of the curves y = cosx and ...

    Text Solution

    |

  10. A value of theta satifying 4costheta sintheta - 2sintheta =0 is

    Text Solution

    |

  11. The equation sinx+sin2x+2sinxsin2x=2cosx+cos2x is satisfied by values ...

    Text Solution

    |

  12. The solution set of sin 3theta + cos 2theta -2=0 is

    Text Solution

    |

  13. The general solution of the equation 2^(cos2x)+1=3*2^(-sin^2x) is

    Text Solution

    |

  14. If (m + 2) sintheta + (2m-1) costheta = 2m+1, then

    Text Solution

    |

  15. In a triangle ABC,a/b=2+sqrt(3) and /C=60^(@) then angle A and B is

    Text Solution

    |

  16. In a triangle ABC

    Text Solution

    |

  17. If cosA + cosB =4sin^(2)(C/2), then

    Text Solution

    |

  18. In a triangle ABC, points D and E are taken on side BC such that BD= D...

    Text Solution

    |

  19. In a triangle, with usual notations, the length of the bisector of ang...

    Text Solution

    |

  20. An ordered triplet solution (x,y,z) with x,y,z int (0,1) and satisfyin...

    Text Solution

    |