Q1 of 112 Page 146

Find the midpoint of the line segment joining the points

(i) (1, – 1) and (–5, 3) (ii) (0,0) and (0,4)

(i). Midpoint of line–segment joining the points (x1, y1) and (x2, y2)


M (x, y) = M


Midpoint of line–segment joining the points (1, –1) and (–5, 3)


M (x, y) =


=


= (–2, 1)


(ii). Midpoint of line–segment joining the points (x1, y1) and (x2, y2)


M (x, y) = M


Midpoint of line–segment joining the points (0, 0) and (0, 4)


M (x, y) =


=


= (0, 2)


More from this chapter

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2

Find the centroid of the triangle whose vertices are

(i) (1,3), (2, 7) and (12, – 16)


(ii) (3, – 5), (–7, 4) and (10, – 2)

 3

The center of a circle is at (–6, 4). If one end of a diameter of the circle is at the origin, then find the other end.

 4

If the centroid of a triangle is at (1, 3) and two of its vertices are (–7, 6) and (8, 5) then find the third vertex of the triangle.

 5

Using the section formula, show that the points A (1,0), B (5,3), C (2,7) and D (–2, 4) are the vertices of a parallelogram taken in order.