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If (a,b) is the mid - point of the line segment joining the points A (10,-6), B(k,4) and a-2b =18, then find the value of k and the distance AB.

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The correct Answer is:
`2sqrt(61)` unit.
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OSWAL PUBLICATION-LINES (IN TWO - DIMENSIONS)-NCERT EXEMPLAR (EXERCISE - 7.3)
  1. Name the type of triangle formed by the points A (-5,6) , B (-4,-2) an...

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  2. Find the points on the X-axis which are at distance of 2sqrt(5) from...

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  3. What type of quadrilateral do the points A (2,-2), B (7,3), C(11,-1) a...

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  4. Find the value of 'a', if the distance between the points A(-3,14) and...

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  5. Find a point which is equidistant from the points A(-5,4) and B (-1,6)...

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  6. Find the coordinates of the point Q on the X- axis which lies on the ...

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  7. Find the value of m , if the points (5,1), (-2,-3) and (8,2m) are coll...

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  8. If the points A(2,4) is equidistant from P (3,8) and Q (-10,y), then f...

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  9. Find the area of the triangle wohose vertices are (-8,4) ,(-6,6) and (...

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  10. In what ratio does the X -axis divide the line segment joining the poi...

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

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

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

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

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  15. The line segment joining the points A(3,2) and B (5,1) is divided at t...

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

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  17. The points A(2,9),B(A ,5),C(5,5) are the vertices of a triangle A B C ...

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

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  19. Find the values of k, if the points A (k+1,2k) ,B (3k,2k+3) and C (5k-...

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

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