Home
Class 12
MATHS
If theta in [0,5pi]a n dr in R such tha...

If `theta in [0,5pi]a n dr in R` such that `2sintheta=r^4-2r^2+3` then the maximum number of values of the pair `(r ,theta)` is____

A

10

B

8

C

6

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise PROBLEM SET (1) ((true or false)|1 Videos

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise PROBLEM SET (1) ((fill in the blanks)|1 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Self Assessment Test|27 Videos

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (FILL IN THE BLANKS)|6 Videos

Similar Questions

Explore conceptually related problems

If theta in[0,5 pi] and r in R such that 2sin theta=r^(4)-2r^(2)+3 then the maximum number of values of the pair (r,theta) is....

If r gt 0, - pi le theta le pi and r, theta satisfy r sin theta =3 and r=4(1+ sin theta ) , then find the possible solutions of the pair (r , theta )

If max{5sintheta +3sin(theta -alpha)} = 7 , then the set of possible value of alpha is (theta in R)

If r sintheta=(7)/(2)andrcostheta=(7sqrt(3))/(2) then the value of theta is :

If theta in [0,3 pi] and r in R . Then , find the pair of ( r , theta ) satisfying 2 sin theta = r^(4)- 2r^(2)+3 .

x^(2)-2x+2cos^(2)theta +sin^(2)theta=0 , then maximum number of ordered pair (x, theta) such that x ∈ R, theta ∈ [0,2pi] .

The centre of the circle,r^(2)=2-4r cos theta+6r sin theta is

Let d in R , " and " A = [{:(-2, 4+d, (sin theta) - 2),(2, sintheta+4, 2d),(5, 2sintheta-d, (-sintheta) +2+2d):}] . If the minimum value of det(A) is 16 for all theta in [ 0, 2pi ] , then a value of d is ,

ML KHANNA-TRIGONOMETRICAL EQUATIONS -SELF ASSESSMENT TEST
  1. If theta in [0,5pi]a n dr in R such that 2sintheta=r^4-2r^2+3 then th...

    Text Solution

    |

  2. If sintheta=sinalpha, then

    Text Solution

    |

  3. The general solution of the trigonometic equation "sin"x + "cos"x = 1...

    Text Solution

    |

  4. The general solution of equation sin^2 theta sec theta + sqrt3 tan th...

    Text Solution

    |

  5. The solution set of (2"cos"x-1)(3+2"cos"x) = 0 in the interval 0 le x ...

    Text Solution

    |

  6. If tan a theta-tan b theta=0, then prove that the values of theta form...

    Text Solution

    |

  7. If cos p theta+cos q theta=0, then prove that the different values of ...

    Text Solution

    |

  8. If sin5x+sin3x+sinx=0, then the value of x other than zero between 0le...

    Text Solution

    |

  9. The maximum value of sin (x + x/6) + cos (x + pi/6) int eh interval (0...

    Text Solution

    |

  10. If x = X "cos" theta-Y "sin" theta, y = X "sin" theta + Y "cos" theta ...

    Text Solution

    |

  11. The general solution of the equation tan^2 x + 2 sqrt3 tan x = 1is giv...

    Text Solution

    |

  12. Let P= {theta : sin theta - cos theta = sqrt2 cos theta} and Q =...

    Text Solution

    |

  13. For 0 lt theta lt pi/2, the solutions of sigma(m-1)^(6)"cosec"(theta+(...

    Text Solution

    |

  14. The positive integer value of n gt 3 satisfying the equation (1)/(sin(...

    Text Solution

    |

  15. The number of all possible values of theta,where 0 lt thetalt pi for w...

    Text Solution

    |

  16. The number of values of theta in the interval (-(pi)/(2), (pi)/(2)) su...

    Text Solution

    |

  17. If sqrt3cos theta + sin theta = sqrt2 then general value of theta is

    Text Solution

    |

  18. The general solution of sinx-cosx=sqrt(2), for any integer n is

    Text Solution

    |

  19. If tan2theta =1, then the general value of theta is

    Text Solution

    |

  20. The equation a "cos" x - "cos" 2x = 2a-7 passesses a solution if

    Text Solution

    |

  21. General value of theta obtained from the equation cos 2 theta = sin al...

    Text Solution

    |