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The transformed equation of 4x^(2) + 9y^...

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

A

`x^(2) + 2y^(2) = 1`

B

`x^(2) + 3y^(2) = 1`

C

`X^(2) - Y^(2) + 3 = 0`

D

`4x^(2) + 9y^(2) = 36`

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The correct Answer is:
D
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AAKASH SERIES-CHANGE OF AXES-Practice Exercise
  1. To remove the first degree terms in the following equations origin sho...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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