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A (5, 3), B (-1, 1) and C (7, -3) are th...

A (5, 3), B (-1, 1) and C (7, -3) are the vertices of triangle ABC. If L is the mid-point of AB and M is the mid-point of AC, show
that : `LM = (1)/(2) BC`.

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ICSE-SECTION AND MID-POINT FORMULA-EXERCISE 13 (B)
  1. Find the mid-point of the line segment joining the points : (-6, 7)...

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  2. Find the mid-point of the line segment joining the points : (5, -3) ...

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  3. Points A and B have co-ordinates (3, 5) and (x, y) respectively. The m...

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  4. A (5, 3), B (-1, 1) and C (7, -3) are the vertices of triangle ABC. If...

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  5. Given M is the mid-point of AB, find the co-ordinates of: A, if M = ...

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  6. Given M is the mid-point of AB, find the co-ordinates of: B, if A =...

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  7. P (-3, 2) is the mid point of line segment AB as shown in the given fi...

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  8. In the given figure, P (4, 2) is mid-point of line segment AB. Find th...

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  9. (-5, 2), (3, -6) and (7, 4) are the vertices of a triangle. Find the l...

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  10. Given a line ABCD in which AB = BC = CD, B = (0, 3) and C = (1, 8). Fi...

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  11. One end of the diameter of a circle is (-2, 5). Find the co-ordinates ...

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  12. A (2, 5), B (1, 0), C (-4, 3) and D (-3, 8) are the vertices of quadri...

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  13. P (4, 2) and Q (-1, 5) are the vertices of parallelogram PQRS and (-3,...

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  14. A (-1, 0), B (1, 3) and D (3, 5) are the vertices of a parallelogram A...

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  15. The points (2, -1), (-1, 4) and (-2, 2) are mid-points of the sides of...

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  16. Points A (-5, x), B (y, 7) and C (1, -3) are collinear (i.e. lie on th...

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  17. Points P (a, -4), Q (-2, b) and R (0, 2) are collinear. If lies betwee...

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  18. Calculate the co-ordinates of the centroid of the triangle ABC, if A =...

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  19. he co-ordinates of the centroid of a triangle PQR are (2, -5). If Q = ...

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  20. A (5, x), B (-4, 3) and C (y, -2) are the vertices of the triangle ABC...

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