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The condition that the equation ax^(2) +...

The condition that the equation `ax^(2) + 2hxy + by^(2) + 2gx + 2fy +c=0` can take the form `ax^(2) - 2hxy + by^(2)=0`, when shifting the origi is

A

`abc + 2fgh - af^(2) - bg^(2)- ch^(2)=0`

B

`2fgh - bg^(2) - ch^(2)=0`

C

`2fgh - af^(2) - ch^(2)=0`

D

`2fgh - af^(2) - bg^(2)=0`

Text Solution

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A
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DIPTI PUBLICATION ( AP EAMET)-TRANSFORMATION OF AXES -EXCERSIE 1
  1. The origin is shifted to (1,2). The equation y^(2) - 8x-4y+12=0 change...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. The transformed equation of x sin alpha - y cos alpha =p when the axes...

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  17. The transformed equation of 2xy + a^(2) =0 when the axes are rotated t...

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  18. The transformed equation of x^(2) -y^(2)=a^(2) when the axes are rotat...

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  19. The transferred equation of x^(2) + 6xy + 8y^(2)=10 when the axes are ...

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  20. The transformed equation of x^(2) + 4xy + y^(2) - 2x +2y-6=0 when the ...

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