Home
Class 11
MATHS
Find the transformed equation of 4xy-3x^...

Find the transformed equation of `4xy-3x^(2) = a^(2)` when the axes are rotated through an angle `Tan^(-1)`2.

Promotional Banner

Topper's Solved these Questions

  • CHANGE OF AXES

    AAKASH SERIES|Exercise EXERCISE - 3.1 (VERY SHORT ANSWER QUESTIONS)|5 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise EXERCISE - 3.1 (SHORT ANSWER QUESTIONS)|8 Videos

  • APPENDICES (REVISION EXERCISE)

    AAKASH SERIES|Exercise MULTIPLE PRODUCT OF TWO VECTORS|21 Videos

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) ADVANCED|5 Videos

Similar Questions

Explore conceptually related problems

The transformed equation of x^(2) + y^(2) =a^(2) when the axes are rotated through an angle 18^(@) is

The transformed equation of 2xy + a^(2) =0 when the axes are rotated through an angle pi//4 is

The transformed equation of x^(2) + y^(2) =r^(2) when the axes are rotated through an angle 36^(@) is

Find the transformed equation of x^(2)+2sqrt3 xy-y^(2) = 2a^(2) when the axes are rotated through an angle 30^(0).

The transformed equation of x^(2) + y^(2) = r^(2) when the axes rotated through an angle 36^(@) is

Find the transformed equation of 3x^(2) + 10xy + 3y^(2) = 9 when the axes are rotated through an angle (pi)/(4)

The transferred equation of x^(2) -y^(2) +a^(2)=0 when the axes are rotated through an angle 60^(@) is

AAKASH SERIES-CHANGE OF AXES-Practice Exercise
  1. Find the transformed equation of 4xy-3x^(2) = a^(2) when the axes are ...

    Text Solution

    |

  2. The coordinates of the point (3,-5) in the new system when the origin ...

    Text Solution

    |

  3. The origin is translated to the point A. The point (3,4) is changed to...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the point to which the origin should be translated in order to ma...

    Text Solution

    |

  6. To remove the first degree terms in the following equations origin sho...

    Text Solution

    |

  7. The axes are translated to a point P so as to remove the first degree ...

    Text Solution

    |

  8. The transformed equation of 4x^(2) + 9y^(2) - 8x + 36 y + 4 = 0 when t...

    Text Solution

    |

  9. The first degree terms of ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0 a...

    Text Solution

    |

  10. The transformed equation of 4x^(2) + 9y^(2) - 8x + 36y + 4 = 0 when t...

    Text Solution

    |

  11. By shifting origin to (-1, 2), the equation y^(2) + 8x - 4y + 12 = 0 c...

    Text Solution

    |

  12. If the transformed equation of curve is 3x^(2) + xy - y^(2) - 7x + y +...

    Text Solution

    |

  13. The coordinate axes are rotated the throughan angle 135^(0) . If the ...

    Text Solution

    |

  14. If the equation y^(2) - 4x + 6y + 17 = 0 changed as y^(2) = 4ax then ...

    Text Solution

    |

  15. The angle of rotation of axes to remove xy terms in the equation 3x^(2...

    Text Solution

    |

  16. The arrangement of the following in ascending order of angle to elimin...

    Text Solution

    |

  17. If the axes are rotated through an angle 30^(0) about the origin then ...

    Text Solution

    |

  18. When axes rotated an angle of (pi)/(3) the transformed form of 7x^(2) ...

    Text Solution

    |

  19. By rotating the axes through an angle of pi the equation x - 2y + 3 =...

    Text Solution

    |

  20. Let L be the line 2x + y - 2 = 0 . The axes rotated by 45^(0) in clock...

    Text Solution

    |

  21. If the transformed equation of curve is 17X^(2) - 16XY + 17y^(2) = 225...

    Text Solution

    |