Question

5. (i)In which quadrant does the point P(-4,1) lie?
(ii)In which quadrant does the point Q(-2,-6) lie?
(iii) On which axis does the point (0,5) lie?
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Answer 1

ᴀɴsᴡᴇʀs

• ɪ ǫᴜᴀᴅʀᴀɴᴛ
• ɪɪɪ ǫᴜᴀᴅʀᴀɴᴛ
• ʏ ᴀxɪs

Answer 2

Given,

• P(-4,1)
• Q(-2,-6)
• (0,5)

To find,

• In which quadrant does the point P(-4,1) lie
• In which quadrant does the point Q(-2,-6) lie
• On which axis does the point (0,5) lie

Solution,

We can simply find the quadrant or axis in which the given points lie by using the cartesian system.

As we know,

In the first quadrant, both the x-axis and the y-axis are positive i.e. (x,y).

In the second quadrant, the x-axis is negative and the y-axis is positive i.e. (-x,y).

In the third quadrant, both the x-axis and the y-axis are negative i.e. (-x,-y).

In the fourth quadrant, the x-axis is positive and the y-axis is negative i.e. (x,-y).

(1) Since P(-4,1) has a negative x-axis and a positive y-axis, then the point P must lie in the second quadrant.

(2) Since Q(-2,-6) has both negative x-axis and y-axis, then the point Q must lie in the third quadrant.

(3) Since the x-coordinate of (0,5) is 0 and the y-coordinate is 5, then the point (0,5) must lie on the positive direction of the y-axis.

Hence, the point P(-4,1) must lie in the second quadrant, the point Q(-2,-6)  must lie in the third quadrant, and the point  (0,5) must lie on the positive direction of the y-axis.