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If the axes are rotated through an angle...

If the axes are rotated through an angle `45^(@)` in the positive direction without changing the origin, then the coordinates of the point `(sqrt(2),4)` in the old system are

A

`(1-2sqrt(2),1+2sqrt(2))`

B

`(1+2sqrt(2), 1-2sqrt(2))`

C

`(2sqrt(2), sqrt(2))`

D

`(sqrt(2),2)`

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-TRANSFORMATION OF AXES -EXCERSIE 1
  1. If the coordinates of a pont P are transformed to (sqrt(2), - sqrt(2))...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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