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If R(x , y) is a point on the line segme...

If `R(x , y)` is a point on the line segment joining the points `P(a , b)a n dQ(b , a),` then prove that `x+y=a+b`

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The correct Answer is:
`2:5`
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VK GLOBAL PUBLICATION-COORDINATE GEOMETRY -PROFICIENCY EXERCISE ( Short Answer Questions-I )
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  2. Point A lies on the line segment PQ joining P(6, -6) and Q(-4, -1) in ...

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  4. Find the ratio in which the line x + 3y -14 = 0 divides the line segme...

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  6. Prove that the points (a, b + c), (b, c + a) and (c, a + b) are collin...

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  7. If the mid-point of the line segment joining the points A (3, 4) and B...

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  8. If (1, 2), (4, y), (x, 6) and (3, 5) are the vertices of a parallel...

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  9. If P (9a-2,-b) divides line segment joining A (3a+1,-3) and B(8a,5) in...

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  10. In what ratio does the x-axis divide the line segment joining the poin...

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  11. Find the area of the triangle whose vertices are (- 4, 8), (6, - 6) an...

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  12. If D (-(1)/(2),(5)/(2)), E (7,3) and F ((7)/(2),(7)/(2)) are the mid...

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  13. Find the area of the triangle ABC with A(1,-4) and mid-points of sides...

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  14. If (a,b) is the mid - point of the line segment joining the points A (...

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  15. If (a,b) is the mid - point of the line segment joining the points A (...

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  16. Find the ratio in which the line 2x+3y-5=0 divides the line segment jo...

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  17. If the centre of a circle is (2a,a-7) ,then Find the value of a , if t...

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  18. Find the coordinates of points which divide the line segment joining A...

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  19. Find the value of k for which the points A(k+1, 2k), B(3k, 2k +3) and ...

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  20. Find the coordinates of the point R on the line segment joining the po...

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