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At which point should the origin be shif...

At which point should the origin be shifted so that co-ordinates of point `(2,5)` become `(1,-4)` ?

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To solve the problem of finding the new origin such that the coordinates of the point (2, 5) become (1, -4), we can follow these steps: ### Step 1: Understand the relationship between the old and new coordinates. Let the original coordinates be represented as (X, Y) = (2, 5) and the new coordinates as (x, y) = (1, -4). We need to find the new origin (H, K). ### Step 2: Set up the equations based on the shift of origin. When the origin is shifted to (H, K), the relationship between the old coordinates and the new coordinates can be expressed as: - For the x-coordinate: ...
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NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. At which point should the origin be shifted so that co-ordinates of po...

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  2. Find the new co-ordinates of the following points when origin is shift...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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