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The first degree terms of ax^(2) + 2hxy ...

The first degree terms of `ax^(2) + 2hxy + by^(2) + 2gx + 2fy + c = 0` are removed by shifting origin to `(alpha, beta)` The new equation as

A

`ax^(2) + 2hxy + by^(2) + 2g alpha + 2b beta + c = 0`

B

`ax^(2) + 2hxy + by^(2) + g alpha + f beta + c = 0`

C

`ax^(2) + 2hxy + by^(2) + h alpha + b beta + c = 0`

D

`ax^(2) + 2hxy - by^(2) + h alpha + b beta - c = 0`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-CHANGE OF AXES-Practice Exercise
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  2. The transformed equation of 4x^(2) + 9y^(2) - 8x + 36 y + 4 = 0 when t...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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