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When the origin shifted to a suitable po...

When the origin shifted to a suitable point P, the equation `2x^(2) + y^(2) - 4x + 4y = 0` transformed as `2x^(2) + y^(2) - 8x + 8y + 18 = 0` then P =

A

(1,2)

B

(1, -2)

C

(-1, 2)

D

(-1, -2)

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-CHANGE OF AXES-Exercise - 1
  1. By translation of axes the equation xy - x + 2y - 6 = 0 changed as x...

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  2. If (0,0) shifted to a point on the x axis then 2x + 3y - 6 = 0 reduce...

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  3. When the origin shifted to a suitable point P, the equation 2x^(2) + y...

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  4. Shift the origin to a suitable point so that the equation y^(2) + 4y +...

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  5. When origin (0,0) shifted to (2,3) then the original equation of x^(2)...

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  6. When (0,0) shifted to (3,-3) the co-ordinates of P, Q, R are (5, 5), (...

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  7. (6,6) is a point on the circle x^(2) + y^(2) - 4x - 6y - 12 = 0 by tra...

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  8. Find the condition that the equation ax^(2) + 2hxy + by^(2) + 2gx + 2f...

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  9. Assertion (A) : If the area of triangle formed by (0,0), (-1,2),(1,2) ...

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  10. If the axes are rotated through an angle of 45^(0) and the point p has...

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  11. If the axes are rotated through an angle 45^(0) in the anti-clockwise...

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

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  13. The angle of rotation of axes to remove xy term of the equation xy = ...

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  14. The transformed equation of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 when th...

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

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

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  17. When angle of rotation of axes is Tan^(-1) 2 the transformed equation...

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  18. When axes rotated through an angle alpha the transformed equation of x...

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  19. If the transformed equation of a curve is X^(2) - 2XY tan 2 alpha - Y^...

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  20. Find the angle of rotation of the axes so that the equation sqrt(3) x ...

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