Home
Class 11
MATHS
Number of solutions of the equation (sqr...

Number of solutions of the equation `(sqrt(3)+1)^(2x)+(sqrt(3)-1)^(2x)=2^(3x)` is________

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of the equation sqrt(x^(2))-sqrt((x-1)^(2))+sqrt((x-2)^(2))=sqrt(5) is

The number of solutions of the equation sqrt(x^(2))-sqrt((x-1)^(2))+sqrt((x-2)^(2))=sqrt(5) is

Number of solutions of equation sqrt(7^(2x^(2-5x-6))) = (sqrt(2))^(3log_2 49)

Number of solutions of the equation cot^(-1)sqrt(4-x^(2))+cos^(-1)(x^(2)-5)=(3pi)/2 is:

The number of solutions of the equation sin((pix)/(2sqrt3))=x^2-2sqrt3x+4

Find the number of solutions of equation (2x-3)2^x=1

The number of solution of the equation |tan^(-1)|x||=sqrt((x^(2)+1)^(2)-4x^(2)) is

The number of solutions of the equation log_(3)(3+sqrt(x))+log_(3)(1+x^(2))=0 , is

The number of solutions of the equation ((1+e^(x^(2)))sqrt(1+x^(2)))/(sqrt(1+x^(4)-x^(2)))=1+cosx , is

The number of real solutions of equation 2^(x/2)+(sqrt2+1)^x=(5+2sqrt2)^(x/2) is

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. If 5tantheta=4, then (5sintheta-3costheta)/(5sintheta+2costheta) is eq...

    Text Solution

    |

  2. Prove that (r1+r2)/(1+cosC)=2R

    Text Solution

    |

  3. Number of solutions of the equation (sqrt(3)+1)^(2x)+(sqrt(3)-1)^(2x)=...

    Text Solution

    |

  4. Prove that cosalpha+cosbeta+cosgamma+cos(alpha+beta+gamma)=4cos((alpha...

    Text Solution

    |

  5. If x=(sin^3P)/cos^2P,y=cos^3P/sin^2P" and " sinP+cosP=1/2 then find th...

    Text Solution

    |

  6. Number of solution(s) of the equation (sinx)/(cos3x)+(sin3x)/(cos9x)+(...

    Text Solution

    |

  7. Prove that: (sinA+s in3A+sin5A+sin7A)/(cosA+cos3A+cos5A+cos7A)=tan4A

    Text Solution

    |

  8. Prove that (r+r1)tan((B-C)/2)+(r+r2)tan((C-A)/2)+(r+r3)tan((A-B)/2)=0

    Text Solution

    |

  9. (a+2)sinalpha+(2a-1)cosalpha=(2a+1)iftanalpha"i s" (a) 3/4 (b) 4...

    Text Solution

    |

  10. If x , y in [0,2pi]a n dsinx+siny=2, then the value of x+y is pi (b) ...

    Text Solution

    |

  11. The value of (1+cospi/8)(1+cos(3pi)/8)(1+cos(5pi)/8)(1+cos(7pi)/8)i s ...

    Text Solution

    |

  12. Let A B C be a triangle with incentre at I Also, let P and Q be the fe...

    Text Solution

    |

  13. Let f(x)=log(log)(1/3)((log)7(sinx+a))) be defined for every real valu...

    Text Solution

    |

  14. Number of roots of cos^2x+(sqrt(3)+1)/2sinx-(sqrt(3))/4-1=0 which lie ...

    Text Solution

    |

  15. In A B C , on the side B C ,D and E are two points such that B D=D E=...

    Text Solution

    |

  16. If sintheta1+sintheta2+sintheta3=3, then costheta1+costheta2+costheta...

    Text Solution

    |

  17. Number of integral values of a for which the equation cos^2x-sinx+a=0 ...

    Text Solution

    |

  18. It cos(alpha+beta)=4/5,sin(alpha-beta)=5/(13)a n dalpha,beta lie betwe...

    Text Solution

    |

  19. A circle of radius 4cm is inscribed in A B C , which touches the side...

    Text Solution

    |

  20. If sin^2theta=(x^2+y^2+1)/(2x) , then x must be -3 (b) -2 (c) 1...

    Text Solution

    |