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The transformed equation of `2xy + a^(2) =0` when the axes are rotated through an angle `pi//4` is

A

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

B

`xy =a^(2)`

C

`x^(2) -y^(2) +a^(2)`

D

`y^(2) -x^(2) =a^(2)`

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 x cos alpha + y sin alpha = p when the axe...

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

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

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

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

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

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  7. The transformed equation of 9x^(2) + 2sqrt(3)xy + 7y^(2)=10 when the a...

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  8. The transformed equation of x^(2) - 2sqrt(3)xy -y^(2) =2a^(2) when the...

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  9. The transformed equation of x^(2) - 2sqrt(3)xy -y^(2) =2a^(2) when the...

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  10. When the axes are rotated through an angle pi//6. Find the transformed...

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  11. The transformed equation of x^(2) - 2sqrt(3)xy -y^(2) =2a^(2) when the...

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

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  13. The transferred equation of x^(2) -y^(2) +a^(2)=0 when the axes are ro...

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  14. The transformed equation of x^(2) + y^(2) =a^(2) when the axes are rot...

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  15. The transformed equation of x^(2) + y^(2) =r^(2) when the axes are rot...

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  16. The transformed equation of x^(2)//a^(2) -y^(2)//b^(2)=1 when the axes...

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  17. The transformed equation of ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c=0 w...

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  18. The transformed equation of x^(2) + y^(2) - 4x + 6y-12=0 when the axes...

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  19. If the axes are rotated through, an angle theta, the transformed equat...

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  20. If the transformed equation of a curve is 17x^(2) - 16xy + 17y^(2)=225...

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