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Show that the mid-point of the line s...

Show that the mid-point of the line segment joining the points `(5,\ 7)` and `(3,\ 9)` is also the mid-point of the line segment joining the points `(8,\ 6)` and `(0,\ 10)` .

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CHETAN PUBLICATION-CO-ORDINATE GEOMETRY -PROBLEM FOR PRACTICE
  1. In what ratio does the point(1,3) divide line segment joining the poin...

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  2. Find the lengths of the medians of a A B C whose vertices are A...

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  3. Show that the mid-point of the line segment joining the points (5,\...

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  4. Segments AB and CD bisects each other at point M. If A(4,3), B(-2,5), ...

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  5. Find the ratio in which the line segment joining the points (6,4) and ...

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  6. Find the coordinates of the points which divide the line segment joini...

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  7. Find the coordinates of the points which divide segment AB into four e...

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  8. If A-P-Q-B, point P and Q trisects seg AB and A(3,1), Q(-1,3), then fi...

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  9. Find the coordinates of centorid G of ABC, if (i)A(8,9),B(4,5),C(6,2...

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  10. The origin 'O' is the centroid of ABC in which A(-4,3) B(3,k) and C(h,...

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  11. Find the coordinates of the points dividing the segment joining A(-5,7...

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  12. Find the slope of a line which makes an angle with the positive X-axis...

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  13. Find the slope of the line passing through the points. (i) (-1,4),(3,...

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  14. Using slope concept, check whether the following points are collinear....

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  15. Find the value of k, if (5,k), (-3,1) and (-7,-2) are collinear.

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  16. Find the value of k, if (2,1) (4,3) and (0,k) are collinear 1.

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  17. Find the value of k, if the slope of the line passing through (2,5) an...

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  18. P(3,4), Q(7,2) and R(-2, -1) are the vertices of PQR. Write down the s...

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  19. Show that line joining (4,-1) and (6,0) is parallel to line joining (7...

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  20. Show that square ABCD is a parallelogram, if A(-1,2), B(-5,-6) C(3,-2...

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