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Prove that the points A(-5, 4), B(-1, -2...

Prove that the points A(-5, 4), B(-1, -2) and C(5, 2) are the vertices of an isosceles rightangled triangle. Find the co ordinates of D so that ABCD is a square.

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ICSE-SECTION AND MID-POINT FORMULA-EXERCISE 13 (C)
  1. AB is a diameter of a circle with centre C = (-2, 5). If A = (3, -7). ...

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  2. AB is a diameter of a circle with centre C = (-2, 5). If A = (3, -7). ...

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  3. Find the co-ordinates of the centroid of a triangle ABC whose vertices...

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  4. The mid-point of the line segment joining (4a, 23) and (-4, 3b) is (2,...

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  5. The mid-point of the line segment joining (2a, 4) and (-2, 2b) is (1, ...

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  6. Write down the co-ordinates of the point P that divides the line joini...

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  7. write down the coordinate of the point p that divides the line joining...

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  8. write down the coordinate of the point p that divides the line joining...

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  9. Prove that the points A(-5, 4), B(-1, -2) and C(5, 2) are the vertices...

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  10. M is the mid-point of the line segment joining the points A(-3, 7) and...

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  11. Calculate the ratio in which the line joining A (-4, 2) and B (3, 6) i...

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  12. Determine the ratio in which the line 2x +y 4 = 0 divides the line ...

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  13. If the abscissa of a point P is 2, find the ratio in which this point ...

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  14. The line joining the points (2, 1) and (5, -8) is trisected at the poi...

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  15. Find the image of the point A(5, -3) under reflection in the point P(-...

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  16. M is the mid-point of the line segment joining the points A(0, 4) and ...

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  17. M is the mid-point of the line segment joining the points A(0, 4) and ...

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  18. M is the mid-point of the line segment joining the points A(0, 4) and ...

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  19. A (-4, 2), B(0, 2) and C(-2,-4) are vertices of a triangle ABC. P, Q a...

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  20. A(3, 1), B(y, 4) and C(1, x) are vertices of triangle ABC and G(3, 4) ...

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