Home
Class 12
MATHS
Prove that the angle of rotation of the ...

Prove that the angle of rotation of the axes to eliminate xy term from the equation `ax^2+2hxy+by^2=0" is " Tan^(-1)((2h)/(a-b))` where `a neb` and `(pi)/(4)` if `a=b`.

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise SECTION - C|36 Videos

  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise SECTION - A|25 Videos

  • PROPERTIES OF TRIANGLES

    SRISIRI PUBLICATION|Exercise LAQ ,SAQ,VSAQ (2DHARDQ) (3DMIS.Q)|44 Videos

  • SOLVED MODEL PAPER - 4

    SRISIRI PUBLICATION|Exercise Long Answer Questions|9 Videos

Similar Questions

Explore conceptually related problems

Show that the angle of rotation of the axes to eliminate xy term in the equation ax^(2) + 2hxy + by^(2) = 0 " is " (1)/(2) Tan^(-1) ((2h)/(a - b)) " when " a ne b and pi //4 when a = b

The angle of rotation of axes to remove xy term of the equation xy = c^(2) is

The angle of rotation of axes to remove xy term in the equation xy = c^(2) is

The angle of rotation of axes to remove xy terms in the equation 9x^(2) - 2sqrt(3)xy + 3y^(2)=0 is

The angle of rotation of axes to remove xy term in the equation 9x^(2) + 2sqrt(3)xy + 7y^(2)=10 is

Find the angle of rotation to eliminate xy term in the equation x^(2) + 2 sqrt(3) xy - y^(2) = 18

The angle of rotation of axes in order to eliminate xy term in the equation x^(2) + 2sqrt(3)xy - y^(2) = 2a^(2) is

SRISIRI PUBLICATION-QUESTION PAPER -SECTION - B
  1. When the axes are rotated through an angle alpha, find the transformed...

    Text Solution

    |

  2. When the axes are rotated through an angle 45^@, the transformed equat...

    Text Solution

    |

  3. Prove that the angle of rotation of the axes to eliminate xy term from...

    Text Solution

    |

  4. Transform the equation x/a+y/b=1 into normal form where agt0, bgt0. If...

    Text Solution

    |

  5. Find the points on the line 3x-4y-1=0 which are at a distance of 5 uni...

    Text Solution

    |

  6. The value of k such that the lines 2x-3y+k=0, 3x-4y-13=0 and 8x-11y-33...

    Text Solution

    |

  7. If the straight lines ax+by+c=0, bx+cy=a=0 and cx=ay+b=0 are concurren...

    Text Solution

    |

  8. Find the equation of the line passing through the point of intersectio...

    Text Solution

    |

  9. Find the value of k if the angle between the straight lines 4x-y+7=0, ...

    Text Solution

    |

  10. A straight line with slope 1 passes through Q(-3,5) and meets the stra...

    Text Solution

    |

  11. Show that f(x)={{:((cosax-cosbx)/(x^(2))," if " xne0),((1)/(2)(b^(2)...

    Text Solution

    |

  12. If f is given by f(x)={{:(k^(2)x-k,"if "xge1),(2,"if "xlt1):} is a co...

    Text Solution

    |

  13. Is f given by f(x)={{:((x^2-9)/(x^2-2x-3)" if "0ltxlt5 " and "xne3),(1...

    Text Solution

    |

  14. Find the derivative of sin2x from the first principles .

    Text Solution

    |

  15. Find the derivative of cosax from the first Principle.

    Text Solution

    |

  16. Find the derivative of tan2x from the first principle.

    Text Solution

    |

  17. Find the derivative of cos^(2)x from the first principle.

    Text Solution

    |

  18. Find the derivative of xsinx from the first principle.

    Text Solution

    |

  19. Find the derivative of the function from first principle x ^(2)

    Text Solution

    |

  20. A particle is moving in a straight line so that after 't' seconds its ...

    Text Solution

    |