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Choose a new origin so that the equation...

Choose a new origin so that the equation `2x^(2)+7y^(2)+8x-14y+15 = 0` may be translated to the which the first degree terms be missing. Find the transformed equation also.

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AAKASH SERIES-CHANGE OF AXES-Practice Exercise
  1. Choose a new origin so that the equation 2x^(2)+7y^(2)+8x-14y+15 = 0 m...

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  2. The coordinates of the point (3,-5) in the new system when the origin ...

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  3. The origin is translated to the point A. The point (3,4) is changed to...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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