Question

In which quadrant are the following points ?
(i) whose both co-ordinates are positive.(ii) whose both co-ordinates are negative.(iii) whose x co-ordinate is positive, and the y co-ordinate is negative.(iv) whose x co-ordinate is negative and y co-ordinate is positive.

Answer 1

(i). 1st quadrant
(ii). 3rd quadrant
(iii). 4th quadrant
(iv). 2nd quandrant

Answer 2

Answer:

(i): First quadrant.

(ii): Third quadrant.

(iii): Fourth quadrant.

(iv): Second quadrant.

Step-by-step explanation:

There are four quadrants in a two dimensional coordinate system.

The sign convention that we follow for the coordinate system is as follows:

All the point are taken to be positive on the right side of the a vertical axis that passes through the origin, called y axis, and all points on the left of this axis are taken as negative.

All the point are taken to be positive above the horizontal axis that passes through origin, called x axis, and all points below this axis are taken as negative.

The four quadrants are shown in the figure attached below.

• In the first quadrant: x co-ordinate is positive and y co-ordinate is positive.

• In the second quadrant: x co-ordinate is negative and y co-ordinate is positive.

• In the third quadrant: x co-ordinate is negative and y co-ordinate is negative.

• In the fourth quadrant: x co-ordinate is positive and y co-ordinate is negative.