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SAI International School
CLASS - X
Mathematics
CHAPTER-7: Co-ordinate Geom-2
HOME ASSIGNMENT-1
SUBTOPIC : Section Formula
1. Points A(-4, x), B(y, 5) and C(1, 6) are collinear such that AB : BC = 2 : 1. Calculate the
values of x and y.
2. Calculate the ratio in which the line joining A (6, 5) and B (4, - 3) is divided by the line y =
2.
3. Three consecutive vertices of a parallelogram ABCD are A(1, 2), B(1, 0) and C(4, 0). Find
the fourth vertex D.
4. If the point C ( - 1 , 2) divides internally the line segment joining A ( 2 , 5) and B ( x , y) in
the ratio 3:4 , then find the coordinates of B.
5. The base BC of an equilateral triangle ABC lies on Y-axis. The coordinates of the point C
are (0, -3). If origin is the mid-point of BC , find the coordinates of point A and B.
6. Find the ratio in which the line 3x + y – 9 =0 divides the line segment joining the points
A(1,3) and B(2,7).
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