Home
Class 12
MATHS
If number of distinct real roots of the ...

If number of distinct real roots of the equation `(log_(sqrt(3))(tanx))sqrt(log_(sqrt(3))3sqrt(3)2log_(sqrt(3))tanx)=-1` in `[0,2pi` is `mu` then `1/(mu)`=………..

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Number of real roots of the equation sqrt(x)+sqrt(x-sqrt((1-x)))=1 is

The roots of the equation x^(2)-2sqrt(3)x+3=0 are

Number of real roots of equation 3^(log3^((x^2-4x+3)))=(x-3) is

4^(5 log_(4sqrt(2)) (3-sqrt(6)) - 6 log_8(sqrt(3)-sqrt(2)))

Solve the equation 3sqrt((x+3))-sqrt((x-2))=7

Find the general solution of the equation, (sqrt(3)-1)costheta+(sqrt(3)+1)sintheta=2

Find the principal solutions of the equation tanx=-(1)/(sqrt(3)) .

Find the number of solution of theta in [0,2pi] satisfying the equation ((log)_(sqrt(3))tantheta(sqrt((log)_(tantheta)3+(log)_(sqrt(3))3sqrt(3))=-1

sqrt(3)x^(2) - sqrt(2)x + 3sqrt(3)=0

(sqrt(-2))(sqrt(-3))=.....

ALLEN -TEST PAPERS-MATHEMATICS
  1. If x!=(npi)/2 (where n is an integer) and the vale of (1+cotxcosecx)xx...

    Text Solution

    |

  2. Let AP (a,d) denote the set of all the terms of an infinite ariothmeti...

    Text Solution

    |

  3. If number of distinct real roots of the equation (log(sqrt(3))(tanx))s...

    Text Solution

    |

  4. If alpha and beta are the roots of x^(2)+4x+6=0 and N=1/((alpha)/(beta...

    Text Solution

    |

  5. If roots of 2(x-a)(x+b)+c=0 are alpha and beta roots of (x-alpha)(x-be...

    Text Solution

    |

  6. The number of solution of the equation 2(tanx-sinx)+3(cotx-cosx)+5=0x ...

    Text Solution

    |

  7. If n^(th) term (T(n)) of the sequece is given by the relation T(n+1)=T...

    Text Solution

    |

  8. If lamda(1) is the product of values of x satisfy the equation (x)^(lo...

    Text Solution

    |

  9. If 2tan^(2)theta(1)tan^(2)theta(2)theta(3)+tan^(2)theta(1)tan^(2)theta...

    Text Solution

    |

  10. Let f:(4,8)to(3,4) be a function defined by f(x)={x/4}+3 ({.} denotes ...

    Text Solution

    |

  11. Value of "sin"^(6)(pi)/16+"sin"^(6)(3pi)/16+"sin"^(5pi)/16+"sin"^(6)(7...

    Text Solution

    |

  12. Number of solution of the equation sin^(2)x+(sin^(2)3x)/4=sinx sin 3x,...

    Text Solution

    |

  13. If x and y are real and satisfy the equation x^(2)+16y^(2)-3x+2=0 then...

    Text Solution

    |

  14. If a,b,c,d,e are positive numbers, then which of the following holds g...

    Text Solution

    |

  15. If x^(2)+25+sqrt(y-3)=10x-|z^(2)-4z+3|-|z-1|-|sin omega-1|=0 then whic...

    Text Solution

    |

  16. Which of the following is/are correct

    Text Solution

    |

  17. If T(n) and t(n) be the nth term of two AP's respectively and the rati...

    Text Solution

    |

  18. The equation x^(4)-2x^(3)-3x^(2)+4x-1=0 has four distinct real roots x...

    Text Solution

    |

  19. Which of the following is/are correct

    Text Solution

    |

  20. If g(x)=2-|x|,x epsilon[-1,3] and f(x)=-1+|x-2|,0 le x le 4 On the b...

    Text Solution

    |