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(-2, 4), (4, 8), (10, 7) and (11,-5) ar...

`(-2, 4), (4, 8), (10, 7) ` and `(11,-5)` are the vertices of a quadrilateral. Show that the quadrilateral, obtained on joining the mid-points of its sides, is a parallelogram. 

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ICSE-EQUATION OF A LINE-EXERCISE 14(B)
  1. Without using the distance formula, show that the points A (4, -2), B ...

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  2. Without using the distance formula, show that the points A (4, 5), B (...

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  3. (-2, 4), (4, 8), (10, 7) and (11,-5) are the vertices of a quadrilate...

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  4. Show that the points (a ,\ b+c),\ \ (b ,\ c+a) and (c ,\ a+b) are coll...

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  5. Find x, if the slope of the line joining (x, 2) and (8, -11) is - 3/4.

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  6. The side AB of an equilateral triangle ABC is parallel to the x-axis. ...

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  7. The side AB of a square ABCD is parallel to the x-axis. Find the slope...

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  8. The side AB of a square ABCD is parallel to the x-axis. Find the slope...

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  9. A (5, 4), B (-3, -2) and C (1, -8) are the vertices of a triangle ABC....

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  10. A (5, 4), B (-3, -2) and C (1, -8) are the vertices of a triangle ABC....

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  11. A (5, 4), B (-3, -2) and C (1, -8) are the vertices of a triangle ABC....

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  12. The slope of the side BC of a rectangle ABCD is 2/3. Find :  the slo...

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  13. The slope of the side BC of a rectangle ABCD is 2/3. Find : the slop...

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  14. Find the slope and the inclination of the line AB if : A = (-3, -2) ...

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  15. Find the slope and the inclination of the line AB if : A = (0, -sqrt...

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  16. Find the slope and the inclination of the line AB if : A = (-1, 2sq...

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  17. The points A(-3, 2), B(2, -1) and C(a, 4) are collinear. Find a.

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  18. The points (K, 3), (2, -4) and (-K+1,-2) are collinear. Find K.

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  19. Plot the points A (1, 1), B (4, 7) and C (4, 10) on a graph paper. Con...

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  20. Find the value(s) of k so that PQ will be parallel to RS. Given : P(...

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