Q.
1. The centre
of the circle is (-1, 6) and one end of a diameter is (5, 9), find the
coordinates of the other end.
Q.
2. If (3, 0),
(2, a) and (b, 6) are the vertices of a triangle ABC whose centroid is (2, 5).
Find the values of a and b.
Q.
3. If A(-1,
3), B(1, -1) and C(5, 1) are the three vertices of a triangle ABC, find the
length of median through B.
Q.
4. If (3, 2),
(4, 4) and (1, 3) are the mid-points of the sides of a triangle, find the
coordinates of the vertices of the triangle.
Q.
5. Using
section formula show that (4, -11), (5, 3), (2, 15) and (1, 1) are the vertices
of a parallelogram.
Q.
6. In what
ratio is the line segment joining the points (-2, -3) and (3, 7) divided by the
y-axis? Also find the coordinates of the point of division.
Q.
7. Find the
point which represents the three-fourths of the distance from (3, 2) to (-5,
6).
Q.
8. Find the
coordinates of the centre of circle, the coordinates of the end points of whose
diameters are (-5, -2) and (7, -6). Also find the radius of the circle.
Q.
9. In what
ratio does the point (3, 12) divide the line segment joining the points (1, 4)
and (4, 16) ?
Q.
10. Find the
coordinates of the points of trisection of the line segment joining the points
(4, -8) and (7, 4).
Q.
11. Find the
coordinates of a point which divide the segment AB in the ratio 3:5 internally,
where A and B are (4, -1) & (7, 4) respectively.
Q.
12. Find the
coordinates of point on the line joining A(3, -4) and B(-2, 5) that is twice as
far from A as from B.
Q.
13. The
mid-point of the line segment joining (3p, 4) and (-2, 2q) is (2, 2p + 2). Find
the values of p and q.
Q.
14. Find the
coordinates of a point whose distance from (3, 5) is 5 units and that from (0,
1) is 10 units.
Q.
15. An
equilateral triangle has one vertex at (3, 4) and another at (-2, 3). Find the
coordinates of the third vertex.
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