Q3 of 48 Page 99

Taking rectangular axes plot the points O(0, 0), P(3, 0) and R(0, 4). If OPQR is a rectangle, then find the coordinates of point Q.

Mark the points O(0,0), P(3,0) and R(0,4) on the rectangular coordinate axes.


Since OPQR is a rectangle, OP = RQ = 3 units


OR = PQ = 4 units


So, abscissa of point Q = 3


ordinate of point Q = 4


The coordinates of point Q are (3,4).



More from this chapter

All 48 →
1

From the given figure find the coordinates of the points P, Q, R and S.

 2

Plot the points with following coordinates (1, 2), (–1, 3), (–2, –4), (3, –2), (2, 0), (0, 3).

 4

Plot the points (–1, 0), (1, 0), (1, 1), (0, 2), (–1, 1), and which figure is obtained by joining these correctively.

 5

Draw a quadrilateral, if its vertices are as follows:

(i) (1, 1), (2, 4), (8, 4) and (10, 1)


(ii) (–2, –2), (–4, 2), (–6, –2) and (–4, –6).


In each case tell the type of the quadrilateral.