Home
Class 11
MATHS
When the axes are rotated through an ang...

When the axes are rotated through an angle `pi//6`. Find the transformed equation of `x^2+2sqrt3xy-y^2=2a^2`.

Text Solution

Verified by Experts

The correct Answer is:
`x ^(2) - y ^(2) =a ^(2)`
Promotional Banner

Topper's Solved these Questions

  • TRANSFORMATION OF AXES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE -2 (A)|24 Videos
  • THREE DIMENSIONAL CO-ORDINATES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISES (EXERCISE -5(b))|10 Videos
  • TRIGONOMETRIC EQUATIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS |18 Videos

Similar Questions

Explore conceptually related problems

When the axes rotated through an angegle (pi)/(4) , find the transformed equation of 3x^2+10xy+3y^2=9 .

When the origin is shifted to (-2,-3) and the axes are rotated through an angle 45^(0) , find the transformed equation of 2x^(2)+4xy-5y^(2)+20x-22y-14 = 0 .

When the axes are rotated through an angle 45^@ , the transformed equation of a curve is 17x^2-16xy+17y^2=225 . Find the original equation of the curve.

If the axes are rotated through, an angle theta , the transformed equation of x^(2) + y^(2)=25 is

If the coordinate axes are rotated through an angle (pi)/(6) about the origin, then transformed equation of sqrt(3)x^2-4xy+sqrt(3)y^2=0 is

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRANSFORMATION OF AXES -TEXTUAL EXERCISES (EXERCISE -2 (A)
  1. The orgin is shifted to (2,3) by the translation of axes. If the coord...

    Text Solution

    |

  2. The origin is shifted to (2, 3) by the translation of axes. If a poin...

    Text Solution

    |

  3. Find the point to which the origin is to be shifted so that the poin...

    Text Solution

    |

  4. When the origin is shifted to (-1,2) by the translation of axes, find ...

    Text Solution

    |

  5. When the origin is shifted to (-1,2) by the translation of axes, find ...

    Text Solution

    |

  6. The point to which the origin is shifted and the transformed equation ...

    Text Solution

    |

  7. The point to which the origin is shifted and the transformed equation ...

    Text Solution

    |

  8. The point to which the origin should be shifted in order to eliminate...

    Text Solution

    |

  9. When the axes are rotated through an angle 30^(@), find the new coordi...

    Text Solution

    |

  10. (i) If the axes are rotated through an angle 30^(0) , then find the co...

    Text Solution

    |

  11. When the axes are rotated through an angle 30^(@), find the new coordi...

    Text Solution

    |

  12. When the axes are rotated through an angle 60^(@), the new - co-ordinn...

    Text Solution

    |

  13. When the axes are rotated through an angel 60^(@), the new - co-ordinn...

    Text Solution

    |

  14. When the axes are rotated through an angel 60^(@), the new - co-ordinn...

    Text Solution

    |

  15. Find the angle through which the axes be rotated to remove the xy ter...

    Text Solution

    |

  16. When the origin is shifted to the point (2 , 3) the transformed equati...

    Text Solution

    |

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

    Text Solution

    |

  18. When the axes are rotated through an angle alpha, find the transformed...

    Text Solution

    |

  19. When the axes are rotated through an angle pi//6. Find the transformed...

    Text Solution

    |

  20. When the axes rotated through an angegle (pi)/(4), find the transforme...

    Text Solution

    |