Home
Class 12
MATHS
If A and B are acute positive angles sat...

If A and B are acute positive angles satisfying the equations 3 `"sin"^(2) A + 2"sin"^(2)B =1 " and " 3"sin"2A-2 "sin" 2B = 0, "then " A +2B =`

A

0

B

`pi//2`

C

`pi//4`

D

`pi//3`

Text Solution

Verified by Experts

The correct Answer is:
B
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

If AandB are acute positive angles satisfying the equations 3sin^(2)A+2sin^(2)B=1 and 3sin2A-2sin2B=0, then A+2B is equal to (a) pi (b) (pi)/(2) (c) (pi)/(4) (d) (pi)/(6)

Let 0

A and B are positive acute angles satisfying the equation 3cos^(2)A+2cos^(2)B=4(3sin A)/(sin B)=(2cos B)/(cos A) then A+2B is

If A,B in(0,(pi)/(2)) such that 3sin^(2)A+2sin^(2)B=1 and 3sin2A-2sin2B=0, find the value of A+B

OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise
  1. If "cos 3x + "sin" (2x - (7pi)/(6)) =-2, then x =

    Text Solution

    |

  2. The number of solutions of 2"cos"^(2)((x)/(2))"sin"^(2) x =x^(2) + (1)...

    Text Solution

    |

  3. If A and B are acute positive angles satisfying the equations 3 "sin"^...

    Text Solution

    |

  4. The equation "sin" theta = x +(p)/(x) for real values of x is possible...

    Text Solution

    |

  5. If "sin" A = "sin"B, "cos"A = "cos"B, then the value of A im terms of ...

    Text Solution

    |

  6. Solve 5 cos 2 theta+2 "cos"^(2) theta/2 +1=0, -pi lt theta lt pi.

    Text Solution

    |

  7. If (1+tantheta)(1+tanphi)=2 then theta+phi=

    Text Solution

    |

  8. The general solution of "tan" 3x =1, is

    Text Solution

    |

  9. If 1+sintheta+sin^2theta+sin^3theta+..to oo=4+2sqrt3 0<theta<pi, t...

    Text Solution

    |

  10. If alpha and beta are the solutions of the equation atan theta+ b s...

    Text Solution

    |

  11. Solve sinx+siny=sin(x+y)a n d|x|+|y|=1

    Text Solution

    |

  12. The expression (1 + tan x + tan^2 x)(1-cot x + cot^2 x) has the positi...

    Text Solution

    |

  13. The equation K-sin theta+ cos 2theta= 2k-7 possesses a real solution i...

    Text Solution

    |

  14. The equation "sin"^(6) x + "cos"^(6) x = lambda, has a solution if

    Text Solution

    |

  15. If y + "cos" theta = "sin" theta has a real solution, then

    Text Solution

    |

  16. The solution set of the equation 4 "sin" theta "cos" theta- 2 "cos" th...

    Text Solution

    |

  17. The most general solution of "tan " theta = -1, "cos" theta = (1)/(sqr...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |