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If the origin is shifted to the point `(1,2)` then what will be the transform equation of the following equations, it is given that the new and old axes are parallel : `(i) x^(2)+y^(2)-2x-4y=0` `(ii) 2x^(2)-y^(2)-4x+4y-3=0` `(iii) x^(2)+xy-2y^(2)-4x+7y-5=0` `(iv) 3x+y=6`

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The correct Answer is:
`(i) X^(2)+Y^(2)=5` `(ii) 2X^(2)-Y^(2)=1` `(iii) X^(2)+XY-2Y^(2)=0` `(iv) 3X+Y=1`
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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. Find the new co-ordinates of the following points when origin is shift...

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  2. At which point the origin should be shifted such that the new co-ordin...

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  3. If the origin is shifted to the point (1,2) then what will be the tran...

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  4. Find the point at which origin is shifted such that the transformed e...

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  5. Find the point at which is shifted such that the transformed equations...

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  6. Shift the origin to a suitable point so that the equation y^2+4y+8x-2=...

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  7. Show that the area of triangle whose vertices are (1,0), (2,4) and (3,...

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  8. Find the slope of the lines whose iclination is given : (i) 45^(@) (...

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  9. Find the inclination of the lines whose slopes are as follows : (i) ...

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  10. Find the slopes of the lines passing through the following points : ...

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  11. If the slope of a line passing through the points (1,4) and (x,2) is 2...

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  12. If the angle of inclination of line joining the points (x,3) and (-2,5...

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  13. If the slop of line joining the points (6,-3) and (x,7) is 2, find the...

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  14. Show that the line joining the points (4,-1) and (-3,3) is parallel to...

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  15. If the line joining the points (5,y) and (4,9) is parallel to the line...

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  16. Show that the line joining the points (4,-3) and (0,7) is perpendicula...

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  17. If the line joining the points (6,-2) and (8,4) is perpendicular to th...

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  18. Without using Pythagoras theorem, show that A(4,4),\ B(3,5)a n d\ C(-1...

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  19. Using slopes, show that the points A(0,5), B(3,2) and C(-1,6) are coll...

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  20. Using the slope of line, show that the points (-1,-2), (0,4), (3,3) an...

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