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Find the point at which is shifted such ...

Find the point at which is shifted such that the transformed equations of the following equations has no first degree term :
`(i) 2x^(2)+3y^(2)+4x-12y+10=0`
`(ii) x^(2)+y^(2)-xy-5x+4y+5=0`

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The correct Answer is:
`(i) (-1,2)` `(ii) (2,-1)`
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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. If the origin is shifted to the point (1,2) then what will be the tran...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Using slopes, show that the points (4,11), (1,5) and (-1,1) are collin...

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  20. If the points (-1,y), (1,2) and (5,4) are collinear, find the value of...

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