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Find the point to which the origin shoul...

Find the point to which the origin should be translated in order to make the first degree terms missing in the equation 3xy - 2x + y - 8 = 0

A

`(-(1)/(3),(2)/(3))`

B

`(-(1)/(3),(2)/(3))`

C

`((2)/(3),-(1)/(3))`

D

`(-(2)/(3),(1)/(3))`

Text Solution

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The correct Answer is:
A
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AAKASH SERIES-CHANGE OF AXES-Practice Exercise
  1. The origin is translated to the point A. The point (3,4) is changed to...

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  2. The point to which the origin should be shifted in order to eliminate ...

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  3. Find the point to which the origin should be translated in order to ma...

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  4. To remove the first degree terms in the following equations origin sho...

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  5. The axes are translated to a point P so as to remove the first degree ...

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  6. The transformed equation of 4x^(2) + 9y^(2) - 8x + 36 y + 4 = 0 when t...

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  7. The first degree terms of ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0 a...

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  8. The transformed equation of 4x^(2) + 9y^(2) - 8x + 36y + 4 = 0 when t...

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  9. By shifting origin to (-1, 2), the equation y^(2) + 8x - 4y + 12 = 0 c...

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

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

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

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

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

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

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

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

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

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

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

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