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A right triangle has sides 'a' and 'b' w...

A right triangle has sides 'a' and 'b' where a>b . If the right angle is bisected then find the distance between orthocentres of the smaller triangles using coordinate geometry.

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BEYOND PUBLICATION-CO-ORDINATE GEOMETRY-EXERCISE
  1. A right triangle has sides 'a' and 'b' where a>b . If the right angle ...

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  2. Find the distance between the following pairs of points . A(-2,5) an...

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  3. Find the distance between the following pairs of points . A(4,5) and...

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  4. Find the distance between the following pairs of points . A(-1,2) an...

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  5. Find the distance between the following pairs of points . A(6,-4) an...

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  6. Find the distance between the following pairs of points . A(5,-12) an...

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  7. Find the distance between the following pairs of points . A(2,-10) ...

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  8. Show that the following points are collinear. (2,4),(0,1),(4,7)

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  9. Show that the following points are collinear. (-2,5),(2,-3),(0,1)

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  10. Show that the following points are collinear. (1,-8),(3,6),(2,-1)

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  11. Show that the following points are collinear. (3,8),(-4,2),(10,14)

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  12. Show that the points (-2,-1),(1,0),(4,3) and (1,2) are vertices of a p...

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  13. Show that the points (1,3),(2,6),(5,7) and (4,4) are the vertices of a...

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  14. Show that the points (1,-1),(-2,2),(4,8) and (7,5) are the vertices of...

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  15. Show that the points (0,-1),(2,1),(0,3),(-2,1) are the vertices of a s...

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  16. Can you draw a triangle with vertices (-1,1) (2,3) and (8,11)? Give re...

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  17. Find the point on the Y-axis which is equidistant from (-5,-2) and (3,...

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  18. Find the retation between x and y, If the point (x,y) is to be equidis...

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  19. Without using the Pythagoras theorem, show that the points (4,4), (3, ...

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  20. Find the ratio in which the X-axis divided the line segment joining po...

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  21. Find the ratio in which X-axis divides the line segment joining the po...

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