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Prove that the equations of the st. line...

Prove that the equations of the st. lines x+y-1=0 and x-y-1= 0 can be written as x + y = 0 and x-y = 0 by shifting the origin to a suitable point.

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MODERN PUBLICATION-STRAIGHT LINES -EXERCISE
  1. Find the new co-ordinates of the point (3, -4) when the origin is shif...

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  2. Find the transformed equation of the st. line 2x-3y + 5 = 0 when the o...

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  3. Prove that the equations of the st. lines x+y-1=0 and x-y-1= 0 can be ...

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  4. Find what the following equations become when the origin is shifted to...

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  5. Find the transformed equations of the following when the origin is shi...

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  6. Find what the following equations become when the origin is shifted to...

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  7. Find the transformed equations of the following when the origin is shi...

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  8. Find the transformed equation of the curve : y^2-4x + 4y +8 =0, when t...

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  9. Find the point to which the origin should be shifted after a translati...

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  10. Find the point to which the origin should be shifted after a translati...

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  11. Find the point to which the origin should be shifted after a translati...

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  12. Find the point so that the equation : 12x^2 -10xy + 2y^2 + 11x-5y+2=0 ...

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  13. Simplify the equation x^2 + y^2 + 8x-6y -25=0 to the form Ax^2 + By^2 ...

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  14. Verify that the area of the triangle with vertics (2, 3), (5, 7) and (...

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  15. Find the equation of the family of lines satisfying the following cond...

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  16. Find the equation of the family of lines satisfying the following cond...

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  17. Find the equation of the family of lines satisfying the following cond...

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  18. Find the equation of the family of lines satisfying the following cond...

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  19. Find the equation of the lines passing through the point of intersecti...

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  20. Find the equation of the line passing through the point of intersectio...

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