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If the axes are rotated through an angle...

If the axes are rotated through an angle `30^(0)` about the origin then the transformed equation of `x^(2) + 2 sqrt(3) xy - y^(2) = 2a^(2) ` is

A

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

B

`X^(2)-Y^(2)=a^(2)`

C

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

D

`X^(2)-Y^(2)=2a^(2)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-CHANGE OF AXES-Practice Exercise
  1. By shifting origin to (-1, 2), the equation y^(2) + 8x - 4y + 12 = 0 c...

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  2. If the transformed equation of curve is 3x^(2) + xy - y^(2) - 7x + y +...

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  3. The coordinate axes are rotated the throughan angle 135^(0) . If the ...

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  4. If the equation y^(2) - 4x + 6y + 17 = 0 changed as y^(2) = 4ax then ...

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  5. The angle of rotation of axes to remove xy terms in the equation 3x^(2...

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  6. The arrangement of the following in ascending order of angle to elimin...

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  7. If the axes are rotated through an angle 30^(0) about the origin then ...

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  8. When axes rotated an angle of (pi)/(3) the transformed form of 7x^(2) ...

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  9. By rotating the axes through an angle of pi the equation x - 2y + 3 =...

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  10. Let L be the line 2x + y - 2 = 0 . The axes rotated by 45^(0) in clock...

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  11. If the transformed equation of curve is 17X^(2) - 16XY + 17y^(2) = 225...

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  12. The angle of rotation of the axes so that the equation x + y - 6 = 0 m...

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  13. The angle of rotation of the axes so that the equation sqrt(3)x - y + ...

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  14. By rotating the axes at an angle alpha if (4,2) in the new system form...

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  15. If (4,2sqrt(3))is the transformed form of (2 sqrt(3),5) by rotating th...

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  16. Statement - I : When the axes are rotated through an angle alpha the t...

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  17. Assertion (A) : The equation of a circle is x^(2) + y^(2) = 9 on rotat...

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  18. The point (4,1) undergoes the following successively (i) reflectio...

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  19. The point (4,1) undergoes the following transformations successively ...

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  20. The point (2,3) is first reflected in the straight line y=x and then t...

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