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Given a line segment AB joining the poin...

Given a line segment AB joining the points A (-4, 6) and B (8, -3). Find :
(i) the ratio in which AB is dividend by the Y-axis.

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Given a line segment AB joining the points A (-4, 6) and B (8, -3). Find : (iii) the length of AB.

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Find the coordinates of the point which divides the line segment joining the points (4,\ 3)\ a n d\ (8,\ 5) in the ratio 3 : 1 internally.

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Find the ratio in which the y-axis divides the line segment joining the points (-4, -6) and (10, 12). Also find the coordinates of the point of division.

Find the ratio in which the plane 2x-3y+z=8 divides the line segment joining the points A(3, -2,1) and B(1, 4, -3). Also find the point of intersection of the line and the plane.

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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ICSE-SECTION AND MID-POINT FORMULA-QUESTIONS
  1. Given a line segment AB joining the points A (-4, 6) and B (8, -3). Fi...

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  2. Find the co-ordinates of point P which divides the line joining A (4...

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  3. Find the ratio in which the point (5,4) divides the line joining point...

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  4. In what ratio is the joining the points (4,2) and (3,-5) divided by th...

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  5. Calcuate the ratio in which the line joining the points (4,6) and (-5,...

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  6. The origin O,B (-6,9) and C (12, -3) are vertices of triangle OBC, Poi...

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  7. Find the co-ordinates of the points of trisection of the segment joini...

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  8. Show that P (3,m -5) is a point of trisection of the line segment joi...

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  9. If the point P(-1,2) divides the join of points A(2, 5) and B(a, b) in...

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  10. Find the co-ordinates of the mid point of the line segment joining the...

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  11. The mid - point of line segment AB (shown in the diagram) is (-3, 5), ...

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  12. Points A(7, -4), B(-5, 5) and C(-3, 8) are vertices of triangle ABC, F...

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  13. A (14, -2), B(6, -2) and D (8,2) are the three vertices of a parallel...

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  14. The mid-point of the segment joining (3m, 6) and (-4, 3n) is (1, 2m, -...

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  15. The point A(3, - 5) is reflected in the point P (-4, 3) as point A'. F...

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  16. If the mid-point of the segment joining the points A(3,4) and B(k,6) i...

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  17. Find the co-ordinates of the point of intersection of the medians of t...

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  18. ABC is a triangle and G (4, 3) is the centroid of the triangle. If A =...

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