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If P (9a-2,-b) divides line segment join...

If P (9a-2,-b) divides line segment joining A (3a+1,-3) and B(8a,5) in the ratio `3 : 1`, then find the values of a and b.

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The correct Answer is:
a=1 , b=-3
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VK GLOBAL PUBLICATION-COORDINATE GEOMETRY -PROFICIENCY EXERCISE ( Short Answer Questions-I )
  1. If the mid-point of the line segment joining the points A (3, 4) and B...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The area of a triangle is 5 square unit. Two of its vertices are (2, 1...

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  18. If the points A (2,9), B (a,5) and C (5,5) are the vertices of a tria...

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  19. The vertices of a triangle are (a, b - c), (b, c - a) and (c, a - b). ...

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  20. The base PQ of two equilateral triangles PQR and PQR with side 2a lies...

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