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Find k so that the point P(-4,\ 6) li...

Find `k` so that the point `P(-4,\ 6)` lies on the line segment joining `A(k ,\ 10)` and `B(3,\ -8)` . Also, find the ratio in which `P` divides `A B`

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RD SHARMA-COORDINATE GEOMETRY-All Questions
  1. Find the condition that the point (x ,\ y) may lie on the line j...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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