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The transformed equation of x^(2) - y^(2...

The transformed equation of `x^(2) - y^(2) + 2x + 4y = 0` when the origin is shifted to the point (-1, 2) is

A

`X^(2) + Y^(2) = 1`

B

`X^(2) + 3Y^(2) = 1`

C

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

D

`4X^(2) + 9Y^(2) = 36`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-CHANGE OF AXES-Exercise - 1
  1. To remove the x and y terms of the equation 14x^(2) - 4xy + 11y^(2) -...

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  2. When (0,0) shifted to (2, -2) the transformed equation of (x - 2)^(2) ...

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  3. The transformed equation of x^(2) - y^(2) + 2x + 4y = 0 when the origi...

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  4. The origin shifted to (1,2) then the equation y^(2) - 8x - 4y + 12 = ...

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  5. By translation of axes the equation xy - x + 2y - 6 = 0 changed as x...

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  6. If (0,0) shifted to a point on the x axis then 2x + 3y - 6 = 0 reduce...

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  7. When the origin shifted to a suitable point P, the equation 2x^(2) + y...

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

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

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

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  11. (6,6) is a point on the circle x^(2) + y^(2) - 4x - 6y - 12 = 0 by tra...

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

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

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

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

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

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

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

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

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

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