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If the first degree terms of x^(2) + 4xy...

If the first degree terms of `x^(2) + 4xy+y^2 - 2x + 2y-6=0` are eliminated by translation of axes then the transformed equation is

A

`x^(2) + 4xy + y^(2)=8`

B

`x^(2) + 4xy + y^(2)=6`

C

`x^(2) + 4xy + y^(2)=4`

D

`5x^(2) + 4xy + 8y^(2)=9`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-TRANSFORMATION OF AXES -EXCERSIE 1
  1. The transformed equation of 2x^(2) + 4xy+ 5y^(2) - 4x - 22y+7=0 when t...

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  2. The transformed equation of 5x^(2) + 4xy + 8y^(2) - 12x - 12y =0 when ...

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  3. If the first degree terms of x^(2) + 4xy+y^2 - 2x + 2y-6=0 are elimina...

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  4. If the transformed equation of a curve is x^(2)+ y^(2) + 4x + 6y + 12=...

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  5. If the area of a triangle is 5 s.u., then the area of the triangle whe...

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  6. The origin is shifted to (1,2). The equation y^(2) - 8x-4y+12=0 change...

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  7. By translating the axes the equation xy-x+2y=6 has changed to xy=c, th...

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  8. The condition that the equation ax^(2) + 2hxy + by^(2) + 2gx + 2fy +c=...

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  9. If the axes are rotated through an angle 45^(@), the coordinates of (2...

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  10. If the coordinates of a pont P are transformed to (sqrt(2), - sqrt(2))...

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  11. Let A be the image of (2,-1) wr.to y-axis. Without transforming the o...

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  12. If the axes are rotated through an angle 45^(@) in the positive direct...

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  13. If the coordiantes of a point P are transformed to (2,-4sqrt(3)) when ...

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  14. The line joining the points A(2,0) and B(3,1) is rotated through an an...

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

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

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

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  18. The angle of rotation of axes to remove xy term in the equation 9x^(2)...

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  19. The angle of rotation of axes to remove xy term in the equation x^(2) ...

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  20. The transformed equation of x cos alpha + y sin alpha = p when the axe...

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