Home
Class 11
MATHS
The transformed equation of 4x^(2) + 9y^...

The transformed equation of `4x^(2) + 9y^(2) - 8x + 36y + 4 = 0 ` when the axes are translated to (1, -2) is `ax^(2) + by^(2) = c` . Then desending order of a, b, c

A

c, b, a

B

c, a, b

C

a, b, c

D

a, c, b

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Additional Exercise|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

The transformed equation of 4x^(2) + 9y^(2) - 8x + 36y+4=0 when the axes are translated to the point (1,-2) is

The transformed equation of 4x^(2) + 9y^(2) - 8x + 36 y + 4 = 0 when the axes are translated to the point (1,-2) is

The transformed equation of x^(2) + 2y^(2) +2x- 4y+2=0 when the axes are translated to the point (-1,1) is

The transformed equation of 5x^(2) + 4xy + 8y^(2) - 12x - 12y =0 when the axes are translated to the point (1,1//2) is

The transformed equation of 2x^(2) + 4xy+ 5y^(2) - 4x - 22y+7=0 when the axes are translated to the point (-2,3) is

The transformed equation of x^(2) + 3y^(2) +4x+ 18y + 30=0 when the axes are transferred to the point (-2,-3) is

The transformed equation of x^(2) + y^(2) - 4x + 6y-12=0 when the axes are rotated through an angle 180^(@) is

The transformed equation of 2x^(2)-3y^(2)+z^(2)+4x+6y-4z-2=0 when the axes are translated to the point (-1, 1, 2) is

AAKASH SERIES-CHANGE OF AXES-Practice Exercise
  1. The transformed equation of 4x^(2) + 9y^(2) - 8x + 36 y + 4 = 0 when t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. The angle of rotation of the axes so that the equation x + y - 6 = 0 m...

    Text Solution

    |

  16. The angle of rotation of the axes so that the equation sqrt(3)x - y + ...

    Text Solution

    |

  17. By rotating the axes at an angle alpha if (4,2) in the new system form...

    Text Solution

    |

  18. If (4,2sqrt(3))is the transformed form of (2 sqrt(3),5) by rotating th...

    Text Solution

    |

  19. Statement - I : When the axes are rotated through an angle alpha the t...

    Text Solution

    |

  20. Assertion (A) : The equation of a circle is x^(2) + y^(2) = 9 on rotat...

    Text Solution

    |