Home
Class 11
MATHS
If t a nalpha=1/(1+2^(-x))a n dt a nbeta...

If `t a nalpha=1/(1+2^(-x))a n dt a nbeta=1/(1+2^(x+1)),` then write the value of `alpha+beta` lying in the interval `(0,pi//2)` .

A

`pi//6`

B

`pi//4`

C

`pi//3`

D

`pi//2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (S-1)|41 Videos
  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JA)|16 Videos
  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 12|1 Videos
  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ALLEN|Exercise All Questions|1 Videos

Similar Questions

Explore conceptually related problems

If tanalpha=1/(1+2^(-x)) and tanbeta=1/(1+2^(x+1)), then write the value of alpha+beta lying in the interval (0,pi//2) .

If tan alpha=(1+2^(-x))^(-1), tan beta=(1+2^(x+1))^(-1) then alpha+beta equals

If t a nalpha=x/(x+1)\ a n dtanbeta=1/(2x+1),\ t h e n\ alpha+beta is equal to pi/2 b. pi/3 c. pi/6 d. pi/4

If alpha and beta are zeroes of 8x^(2)-6x+1 , then find the value of (1)/(alpha)+(1)/(beta) .

If alpha and beta are zeroes of 5x^(2)-7x+1 , then find the value of (1)/(alpha)+(1)/(beta) .

If alpha,beta are roots of the equation x^2-a(xx+1)-c=0, then write the value of (1+alpha)(1+beta)dot

If t a nalpha=x/(x+1) and t a nbeta=1/(2x+1) , then alpha+beta is equal to (a) pi//2 (b) pi//3 (c) pi//6 (d) pi//4

The greater value of F(x)=int_(1)^(x) |t|dt on the interval [-1//2,1//2] , is

If alpha and beta are roots of the equation 2x^(2)-3x-5=0 , then the value of (1)/(alpha)+(1)/(beta) is

If sin(alpha+beta)=1 and sin(alpha-beta)=1/2 , where 0lt=alpha, betalt= pi/2 , then find the values of tan(alpha+2beta) and tan(2alpha+beta) .

ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (O-1)
  1. If A=tan6^(@)tan42^(@)and B=cot66^(@)cot78^(@),then

    Text Solution

    |

  2. If a=b cos((2pi)/3)= c cos((4pi)/3), then write the value of a b+b c+c...

    Text Solution

    |

  3. If t a nalpha=1/(1+2^(-x))a n dt a nbeta=1/(1+2^(x+1)), then write the...

    Text Solution

    |

  4. If tan alpha + tanB + tanC = tanA tanB tanC, then

    Text Solution

    |

  5. If f(x)=(sin 3x)/(sin x), x != n pi , then find range of f(x)

    Text Solution

    |

  6. If cosx+cosy+cosalpha=0 and sinx + siny + sinalpha=0, then cot((x+y)/2...

    Text Solution

    |

  7. The vlaue of sin""(pi)/(14)sin""(3pi)/(14)sin""(5pi)/(14)sin""(7pi)/(1...

    Text Solution

    |

  8. Maximum and minimum value of 2sin^(2)theta-3sintheta+2 is-

    Text Solution

    |

  9. For theta in(0,pi/2) , the maximum value of sin(theta+pi/6)+cos(theta+...

    Text Solution

    |

  10. Find the maximum and minimum value of cos^(2) theta- 6 sin theta cos ...

    Text Solution

    |

  11. The general solution of tan3x =1 is

    Text Solution

    |

  12. The number of solutions of the equation tan^2x-sec^10x+1=0 in (0,10) i...

    Text Solution

    |

  13. The solution set of (5+4 "cos" theta) (2 "cos" theta +1) =0 in the int...

    Text Solution

    |

  14. If 0 le x le 3 pi , 0 le y le 3 pi and cos x * sin y=1 , then find t...

    Text Solution

    |

  15. The number of ordered pairs (alpha, beta) where alpha, beta in (-pi, p...

    Text Solution

    |

  16. The set of value of theta satisfying the inequation 2 sin^(2) thet...

    Text Solution

    |

  17. The number of solutions of the pair of equations 2s in^2theta-cos2thet...

    Text Solution

    |

  18. The equation 2cos^(2)(x/2) sin^2x=x^(2)+x^(-2), 0 lt x^(-2), 0 lt x le...

    Text Solution

    |

  19. The number of real solutions of the equation sin(e^(x)) = 5^(x)+5^(-x)...

    Text Solution

    |

  20. The number of solutions of the equation sinx=x^(2)+x+1 is-

    Text Solution

    |