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Find the ratio in which the point P(x...

Find the ratio in which the point `P(x ,\ 2)` divides the line segment joining the points `A(12 ,\ 5)` and `B(4,\ -3)` . Also, find the value of `x`

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RD SHARMA-COORDINATE GEOMETRY-All Questions
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  2. Points P ,\ Q ,\ R and S divide the line segment joining the points...

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  3. Find the ratio in which the point P(x ,\ 2) divides the line seg...

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  4. Find the ratio in which the line segment joining the points A(3,\ -...

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  5. Find the ratio in which the point P((3)/(4), (5)/(12)) divides the lin...

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

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

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

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

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

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  13. Find the area of the triangle formed by joining the mid-points of the ...

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

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

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

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

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

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

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

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