Home
Class 11
MATHS
If tan15^@=x.then show that x^2+2sqrt3x-...

If `tan15^@=x`.then show that `x^2+2sqrt3x-1=0`

Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    UNITED BOOK HOUSE|Exercise EXERCISE|18 Videos

  • ANNUAL EXAMINATION QUESTION PAPERS 2015

    UNITED BOOK HOUSE|Exercise EXERCISE|49 Videos

Similar Questions

Explore conceptually related problems

If (sqrt(1-x^2))y= sin^(-1)x then show that (1-x^2)y_2-3xy_1-y =0

If tan alpha=(x)/(y) , then show that x "cosec" (alpha)/(3)- y "sec" (alpha)/(3)=3 sqrt(x^(2)+y^(2))(0 lt alpha lt (pi)/(2))

If x= (sqrt5+1)/2 , show that x^2-x-1=0 .

If x - sqrt((sqrt5+1)/(sqrt5-1)) , show that x^2-x-1=0

If x gt 0 , show that, 1+x log (x+sqrt(x^(2)+1)) gt sqrt(1+x^(2))

If 2x = sqrta+1/sqrta . Show that sqrt(x^2-1)/(x-sqrt(x^2-1))(a-1)

If 2x = sqrt((a)/(b)) - sqrt((b)/(a)) , then show that (2a sqrt(1 + x^(2)))/(x + sqrt(1 + x^(2))) = a + b

If xy = 1 + a^2 then show that, tan^(-1) [1/(a + x)]+tan^(-1) [1/(a+y)] = tan^(-1)[1/a],x + y + 2a ne 0 .

If xy=1 + a^(2) then show that tan^(-1) ""(1)/(a+x)+tan ^(-1) ""(1)/(a+y)=tan ^(-1)""(1)/(a) , x+y+2a ne 0

If tan ^(-1) ""x + tan ^(-1) ""y + tan ^(-1) ""z=(pi)/(2) and x + y +z = sqrt(3) then show that x =y=z.

UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2014-EXERCISE
  1. A =(1, 2, 3, 5) and B= {4, 6, 9). Define a relation R from A to B by R...

    Text Solution

    |

  2. Prove that tan54^@=(cos9^@+sin9^@)/(cos9^@-sin9^@)

    Text Solution

    |

  3. If tan15^@=x.then show that x^2+2sqrt3x-1=0

    Text Solution

    |

  4. If omegais an imaginary cube root of unity then prove that (xomega^2+y...

    Text Solution

    |

  5. If number of triangles joining angular points of a n-sided polygon be ...

    Text Solution

    |

  6. Find the term independent of x in the expansion of (x-2/x^2)^15

    Text Solution

    |

  7. Find the sum, if it exists ,of the following infinite G.P:1/3-2/9+4/27...

    Text Solution

    |

  8. Find the area of the triangle formed by the staright line 2x-3y=6 with...

    Text Solution

    |

  9. Find the coordinates of the point which divides the line segment joini...

    Text Solution

    |

  10. Find the derivative of the function f(x)=2x^(2)+3x-5" at "x=-1. Also p...

    Text Solution

    |

  11. if lim(xrarra)f(x)=lim(xrarra)g(x),then whether f(x)=g(x) is always tr...

    Text Solution

    |

  12. If P(A)=2/3,P(B)=1/2,P(AcapB)=1/6,then find the value of P(AcapB')and ...

    Text Solution

    |

  13. Find the mean deviation about the mean for the following data:39,51,59...

    Text Solution

    |

  14. For any two sets A and B, A-(A-B) equals

    Text Solution

    |

  15. If alphaand betaare positive acute angles and cos2alpha=(3cos2beta-1)/...

    Text Solution

    |

  16. Solve for x:cos^3xsin3x+sin^3xcos3x=3/4

    Text Solution

    |

  17. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  18. If z=x+iy and |2z+1|=|z-2i|,then prove that 3(x^2+y^2)+4(x+y)=3

    Text Solution

    |

  19. Out of 14 articles,10 are of same type and each of the remaining is of...

    Text Solution

    |

  20. In the expansion of (root(3)(2)+1/root(3)(3))^nthe rationof the 7th te...

    Text Solution

    |