Home
Class 11
MATHS
When origin (0,0) shifted to (2,3) then ...

When origin (0,0) shifted to (2,3) then the original equation of `x^(2) + y^(2) + 4x + 6y + 12 = 0` is

A

`x^(2) + y^(2) + 1- 0`

B

`x^(2) + y^(2) - 1- 0`

C

`x^(2) + y^(2) + 3 = 0`

D

`x^(2) + y^(2) - 3 = 0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Exercise - 2. 1 (Very short answer questions)|3 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Exercise - 2. 1 (Short answer questions)|7 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Additional Solved Examples|4 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

When (0,0) shifted to (2, -2) the transformed equation of (x - 2)^(2) + (y + 2)^(2) = 9 is

When the origin shifted to a suitable point P, the equation 2x^(2) + y^(2) - 4x + 4y = 0 transformed as 2x^(2) + y^(2) - 8x + 8y + 18 = 0 then P =

Find the parametric equations of the circles x^(2) + y^(2) - 4x + 6y -12=0

If the origin is shifted to (2,3) and the axes are rotated through an angle 45^(@) about that point, then the transformed equation of 2x^(2) + 2y^(2) - 8x - 12y + 18 = 0 is

When the origin is shifted to the point (2 , 3) the transformed equation of a curve is x^(2) + 3xy - 2y^(2) + 17 x - 7y - 11 = 0 . Find the original equation of curve.

Find the point to which the origin has to be shifted to eliminate x and y terms in the equation 4x^(2) + 9y^(2) - 8x + 36y + 4 = 0

The origin is shifted to (1,2). The equation y^(2) - 8x-4y+12=0 changes to y^(2) = 4ax then a=

The point to which the origin should be shifted in order to eliminate x and y in the equation x^(2) + y^(2) + 8x - 6y + 25=0 is

AAKASH SERIES-CHANGE OF AXES-Exercise - 1
  1. When the origin shifted to a suitable point P, the equation 2x^(2) + y...

    Text Solution

    |

  2. Shift the origin to a suitable point so that the equation y^(2) + 4y +...

    Text Solution

    |

  3. When origin (0,0) shifted to (2,3) then the original equation of x^(2)...

    Text Solution

    |

  4. When (0,0) shifted to (3,-3) the co-ordinates of P, Q, R are (5, 5), (...

    Text Solution

    |

  5. (6,6) is a point on the circle x^(2) + y^(2) - 4x - 6y - 12 = 0 by tra...

    Text Solution

    |

  6. Find the condition that the equation ax^(2) + 2hxy + by^(2) + 2gx + 2f...

    Text Solution

    |

  7. Assertion (A) : If the area of triangle formed by (0,0), (-1,2),(1,2) ...

    Text Solution

    |

  8. If the axes are rotated through an angle of 45^(0) and the point p has...

    Text Solution

    |

  9. If the axes are rotated through an angle 45^(0) in the anti-clockwise...

    Text Solution

    |

  10. The angle of rotation of axes in order to eliminate xy term of the equ...

    Text Solution

    |

  11. The angle of rotation of axes to remove xy term of the equation xy = ...

    Text Solution

    |

  12. The transformed equation of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 when th...

    Text Solution

    |

  13. The transformed equation of x^(2) + y^(2) = r^(2) when the axes rotate...

    Text Solution

    |

  14. The transformed equation of 3x^(2) + 3y^(2) + 2xy =2 when the coordina...

    Text Solution

    |

  15. When angle of rotation of axes is Tan^(-1) 2 the transformed equation...

    Text Solution

    |

  16. When axes rotated through an angle alpha the transformed equation of x...

    Text Solution

    |

  17. If the transformed equation of a curve is X^(2) - 2XY tan 2 alpha - Y^...

    Text Solution

    |

  18. Find the angle of rotation of the axes so that the equation sqrt(3) x ...

    Text Solution

    |

  19. Find the angle of roation of the axes so that the equation 2x + 3y =7...

    Text Solution

    |

  20. If the point (sqrt(2), - sqrt(2)) was transformed as (0, -2) by rotat...

    Text Solution

    |