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If a vertex of a triangle be (1,\ 1) ...

If a vertex of a triangle be `(1,\ 1)` and the middle points of the sides through it be `(-2,\ 3)` and `(5,\ 2)` , find the other vertices.

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To find the other vertices of the triangle given one vertex and the midpoints of the sides through it, we can follow these steps: ### Step 1: Identify the given points We have: - Vertex A = (1, 1) - Midpoint M1 = (-2, 3) (midpoint of side AB) - Midpoint M2 = (5, 2) (midpoint of side AC) ...
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RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. If A(-1,\ 3),\ \ B(1,\ -1) and C(5,\ 1) are the vertices of a trian...

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  2. If the coordinates of the mid-points of the sides of a triangle are...

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  3. If a vertex of a triangle be (1,\ 1) and the middle points of th...

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  4. In what ratio is the line segment joining the points A(-2, -3) and B(...

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  5. In what ratio is the line segment joining (-3,\ -1) and (-8,\ -9) d...

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  6. If the middle point of the line segment joining (3, 4) and (k, 7) is (...

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  7. In what ratio does the line x -y - 2 = 0 divides the line segment join...

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  8. Find the ratio in which the line segment joining (-2, -3) and (5, 6)...

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  9. Prove that the points (4,\ 5),\ (7,\ 6),\ (6,\ 3),\ (3,\ 2) are the...

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  10. Prove that (4,\ 3),\ (6,\ 4),\ (5,\ 6) and (3,\ 5) are the angular ...

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  11. Show that the points (-4,\ -1),\ \ (-2,\ -4),\ \ (4,\ 0) and (2,\ 3)...

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  12. Find the lengths of the medians of a triangle whose vertices are A(...

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  13. Three vertices of a parallelogram are (a+b ,\ a-b),\ \ (2a+b ,\ 2a-...

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  14. If two vertices of a parallelogram are (3,\ 2),\ (-1,\ 0) and the ...

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  15. If the points (-2,\ -1),\ (1,\ 0),\ (x ,\ 3) and (1,\ y) form a ...

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  16. The points A(2,\ 0),\ \ B(9,\ 1),\ \ C(11 ,\ 6) and D(4,\ 4) are the ...

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  17. If three consecutive vertices of a parallelogram are (1,\ -2),\ (3,...

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  18. If the points A(a ,\ -11),\ \ B(5,\ b),\ \ C(2,\ 15) and D(1,\ 1) a...

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  19. If the coordinates of the mid-points of the sides of a triangle be ...

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  20. Find the lengths of the medians of a A B C having vertices at A...

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