Home
Class 11
MATHS
If the transformed equation of curve is ...

If the transformed equation of curve is `17X^(2) - 16XY + 17y^(2) = 225` when the axes are rotated through an angle `45^(0)`, then the original equation of the curve is

A

`25 x^(2) + 9y^(2) = 225`

B

`9x^(2) + 25y^(2) = 225`

C

`25x^(2)- 9y^(2) = 225`

D

`9x^(2) - 25y^(2) = 225`

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

If the transformed equation of a curve is 17x^(2) - 16xy + 17y^(2)=225 when the axes are rotated through an angle 45^(@) , then the original equation of the curve is

If the transformed equation of a curve is X^(2) - 2XY tan 2 alpha - Y^(2) = a^(2) when the axes are rotated through an angle alpha , then the original equation of the curve is

If the transferred equation of a curve is x^(2) + 2sqrt(3)xy - y^(2) = 2a^(2) when the axes are rotated through an angle 60^(@) , then the original equation of the curve is

If the transformed equation of a curve is X^(2) + 2 sqrt(3) XY - Y^(2) =2 a^(2) when the axes are rotated through angle 60^(0) , then find the original equation of the curve.

If the transformed equation of a curve is 3X^(2) + XY - Y^(2)- 7X + Y +7=0 when the axes are translated to the point (1,2), then the original equation of the curve is 3x^(2) + xy - y^(2) -ax + by+c=0 , then the ascending order of a,b,c is

Find the transformed equation of x^(2) + 2 sqrt(3) xy - y^(2) = 2a^(2) when the axes are rotated through an angle 30^(0)

If the transformed equation of a curve is X^(2) + 2Y^(2) + 16 = 0 when the axes are translated tot he point (-1, 2) then find the original equation of the curve.

If the transformed equation of a curve is X^(2) + Y^(2) = 4 when the axes are translated to the point (3, -4) then find the original equation of the curve.

AAKASH SERIES-CHANGE OF AXES-Practice Exercise
  1. By shifting origin to (-1, 2), the equation y^(2) + 8x - 4y + 12 = 0 c...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. The point (4,1) undergoes the following successively (i) reflectio...

    Text Solution

    |

  19. The point (4,1) undergoes the following transformations successively ...

    Text Solution

    |

  20. The point (2,3) is first reflected in the straight line y=x and then t...

    Text Solution

    |