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Show that points A(1,-5), B(-4,-8), C(-1...

Show that points `A(1,-5), B(-4,-8), C(-1. -13) and D(4,-10)` are the vertices of a rhombus.

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CHETAN PUBLICATION-CO-ORDINATE GEOMETRY -PROBLEM FOR PRACTICE
  1. The vertices of a triangle are (2, 4), B (2,6),C (2+ sqrt3,5). The tri...

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  2. Find the coordinates of the circumcentre of ABC, if A(2,3), B(4,-1) an...

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  3. Show that points A(1,-5), B(-4,-8), C(-1. -13) and D(4,-10) are the ve...

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  4. Find the coordinates of the point P which divides line segment QR in t...

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  5. Find the coordinates of the midpoint of segment QR, ifQ(2.5,-4.3)and R...

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  6. Find the coordinates of the midpoint P of seg AB, if A(3.5,9.5) and B ...

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  7. In what ratio does the point(1,3) divide line segment joining the poin...

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

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

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

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

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

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

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

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

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

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

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

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

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