Question

If Q1, Q2, Q3, Q4 are the quadrants in a Cartesian plane then Q2 + Q3 is ___________
(a) Q1 , Q2 (b) Q2 , Q3 (c) Null set (d) Negative x-axis.

Answer 1

Here , Q1 , Q2, Q3 and Q4 are the quadrants in a cartisean system. where Q1 means first quadrant , Q2 means 2nd and so on.

also we can say that Q1 is the set of all ordered pairs in which x and y both are positive.Q2 is the set of all ordered pairs in which x is negative and y is positive . Q3 is the set of all ordered pairs in which x is negative and y is negative and Q4 is the set of all ordered pairs in which x is positive and y is negative.

so, you can easily say that Q2 + Q3 is the set of all ordered pair in which includes Q2 and Q3 ordered pairs. so, the answer must option (b) Q2 , Q3.

Answer 2

Answer:

(d) Negative x-axis.

Step-by-step explanation:

The Cartesian  representation of the points in 2nd quadrant is (-x, y)

And of the 3rd Quadrant is (-x, -y) .

So, as we can see both the x coordinates have negative x axis in common.

Hence if we add both the quadrants, we get the complete negative X axis.