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Two vertices of a triangle are `(1,\ 2),\ (3,\ 5)` and its centroid is at the origin. Find the coordinates of the third vertex.

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RD SHARMA ENGLISH-COORDINATE GEOMETRY-All Questions
  1. Find the coordinates of the centroid of a triangle whose vertices a...

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  2. Find the centroid of the triangle whose vertices are: (i)(1,\ 4),\ (...

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  3. Two vertices of a triangle are (1,\ 2),\ (3,\ 5) and its centroi...

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  4. If (-2,\ 3),\ (4,\ -3) and (4,\ 5) are the mid-points of the sides ...

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  5. In Fig. 14.40, a right triangle B O A is given. C is the mid-poi...

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  6. Find the third vertex of a triangle, if two of its vertices are at ...

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  7. Find the area of a triangle whose vertices are A(3,2),\ \ B(11 ,\ 8...

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  8. Find the area of the triangle formed by joining the midpoints of the ...

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  9. If P(1,\ 2),\ \ Q(1,\ 0) and R(0,\ 1) are the mid-points of the sid...

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  10. The vertices of A B C are A(4,\ 6),\ \ B(1,\ 5) and C(7,\ 2) . A l...

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  11. Find the area of the quadrilateral A B C D whose vertices are re...

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  12. Prove that the points (2,\ -2),\ (-3,\ 8) and (-1,\ 4) are colli...

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  13. For what value of x will the points (x ,\ -1),\ (2,\ 1) and (4,\...

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  14. Find the condition that the point (x ,\ y) may lie on the line j...

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  15. If the points (p ,\ q),\ (m ,\ n) and (p-m ,\ q-n) are collinear...

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  16. Find k so that the point P(-4,\ 6) lies on the line segment join...

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  17. If the coordinates of two points A and B are (3,\ 4) and (5,\ -2) re...

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  18. The coordinates of A ,\ B ,\ C are (6,\ 3),\ (-3,\ 5) and (4,\ -2) ...

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  19. If the points A(1,\ -2),\ \ B(2,\ 3),\ \ C(-3,\ 2) and D(-4,\ -3) a...

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  20. If the points P(-3,\ 9),\ \ Q(a ,\ b) and R(4,\ -5) are collinea...

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