Home
Class 11
MATHS
If x=(sqrt13+2sqrt3), then x+1/x is equa...

If x=`(sqrt13+2sqrt3)`, then x+1/x is equal to ?

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos

  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

Let [x] denotes the greatest integer less then or equal to x. If x=(sqrt3+1)^5 , then [x] is equal to

If x = 2+sqrt3 then x+1/x =

If 1+sinx+sin^2x+sin^3x+oo is equal to 4+2sqrt(3),0ltxltpi, then x is equal to

If x(2+sqrt3)=y(2-sqrt3)=1 , then the value of 1/(x+1)+1/(y+1) is :

If x = 2+sqrt3 , the value of x+1/x is sqrt2 .

If x = (2sqrt15)/(sqrt5 + sqrt3) then evaluate (x+sqrt3)/(x-sqrt3) + (x + sqrt5)/(x- sqrt5)

lim_(xto0) (sqrt(1-cos 2x))/(sqrt2x) is equal to-

If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3) (d) sqrt(2)

The value of int_(0)^(1)(xdx)/((x+sqrt(1-x^(2)))sqrt(1-x^(2))) is equal to -

If the function f(x)=x^3-6x^2+a x+b defined on [1,3] satisfies Rolles theorem for c=(2sqrt(3)+1)/(sqrt(3) then find the value of aa n db

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. If the roots of the equation x^2-2ax+a^2 + a-3=0 are less than 3 then

    Text Solution

    |

  2. The number of solutions of log2(x-1)=2log2(x-3) is

    Text Solution

    |

  3. If x=(sqrt13+2sqrt3), then x+1/x is equal to ?

    Text Solution

    |

  4. The sum of all real roots of the equationabs(x-2)^2+abs(x-2)-2=0 is

    Text Solution

    |

  5. If alpha is a root of 4x^2+2x-1=0, then the other root is

    Text Solution

    |

  6. If e^(cos x)-e^(-cos x) =4, then the value of the cosx is

    Text Solution

    |

  7. If altbltcltd, then the roots of equation (x-a)(x-c)+2(x-b)(x-d)=0, ar...

    Text Solution

    |

  8. If alphaand beta(alphaltbeta) are the roots of the equation x^2+bx+c=0...

    Text Solution

    |

  9. If tan of angles A,B,C are the solutions of the equations tan^3x+3ktan...

    Text Solution

    |

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

    Text Solution

    |

  11. If p(x) be a polynomial satisfying the identity p(x^2)+2x^2+10x=2xp(x+...

    Text Solution

    |

  12. Ifbgta, then the equation (x-a)(x-b)-1=0, has

    Text Solution

    |

  13. The value of alpha and beta such that equation x^2+2x+2+e^a-sinbeta=0 ...

    Text Solution

    |

  14. The values of 'a' for which x^2+ax+sin^-1(x^2-4x+5)+cos^-1(x^2-4x+5)=...

    Text Solution

    |

  15. The number of real solution to the equation -x^2+x-1=sin^(2)x

    Text Solution

    |

  16. If 1,2,3 and 4 are the roots of the equation x^4+ax^3+bx^2+cx+d=0 then...

    Text Solution

    |

  17. The smallest positive x satisfying logsin x cos x+log(cos x) (sin x)=2...

    Text Solution

    |

  18. The set of values of 'a' for which x^2-ax+sin^-1(sin4)gt0 forallx in R...

    Text Solution

    |

  19. If (a^3(x-b)(x-c)(x-d))/((a-b)(a-c)(a-d))+(b^3(x-c)(x-d)(x-a))/((b-c)(...

    Text Solution

    |

  20. Let f(x)=x^3+3x^2+6x+2sinx, then the equation 1/(x-f(1))+2/(x-f(2))+3/...

    Text Solution

    |