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The coordinates of A ,\ B ,\ C are (6...

The coordinates of `A ,\ B ,\ C` are `(6,\ 3),\ (-3,\ 5)` and `(4,\ -2)` respectively and `P` is any point `(x ,\ y)` . Show that the ratio of the areas of triangles `P B C` and `A B C` is `|(x+y-2)/7|` .

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RD SHARMA-COORDINATE GEOMETRY-All Questions
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  2. If the coordinates of two points A and B are (3,\ 4) and (5,\ -2) re...

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

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

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

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  6. Find the area of the triangle whose vertices are (6,\ 3),\ (-3,\ 5)...

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  7. Find the area of the quadrilateral whose vertices are (-3,\ 2),\ (5...

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  8. Find the area of the quadrilateral whose vertices taken in order are ...

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  9. Find the area of the quadrilateral whose vertices are (-4,\ -2),\ (...

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  10. The four vertices of a quadrilateral are (1,\ 2),\ (-5,\ 6),\ (7,\ ...

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  11. The vertices of A B C are (-2,\ 1),\ (5,\ 4) and (2,\ -3) respecti...

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  12. Show that the following sets of points are collinear. (2,\ 5),\ (4,...

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  13. Prove that the points (a ,\ 0),\ (0,\ b) and (1,\ 1) are colline...

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  14. The area of a triangle is 5. Two of its vertices are (2,\ 1) and (3...

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  15. Four points A(6,\ 3),\ \ B(-3,\ 5),\ \ C(4,\ -2) and D(x ,\ 3x) are...

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  16. For what value of a the point (a ,\ 1),\ (1,\ -1) and (11 ,\ 4) are...

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  17. Prove that the points (a ,\ b),\ (a1,\ b1) and (a-a1,\ b-b1) are ...

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  18. If (x ,\ y) be on the line joining the two points (1,\ -3) and (-4,...

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  19. Find the value of k if points (k ,\ 3),\ (6,\ -2) and (-3,\ 4) are ...

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