Question

Which of the following points lies in Q3
A,(3,-2) B,(3,2) C,(-3,-2) D,(-3,2)

Answer 1

Answer:

C (-3,-2) will lie on the Q3

Answer 2

Given : The given points are, A,(3,-2) B,(3,2) C,(-3,-2) D,(-3,2)

To find : The point which lies in Q3 (third quadrant).

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to determine the required point)

Now, the coordinates of a point in two dimensional Cartesian coordinate system, has two values :

1. Abscissa
2. Ordinate

And, there are four quadrants the two dimensional Cartesian coordinate system :

1. 1st quadrant
2. 2nd quadrant
3. 3rd quadrant
4. 4th quadrant

Now, for a point to lie on one of the above mentioned quadrants, its abscissa and ordinate should have required combination of +ve or -ve values.

So,

• Points in 1st quadrant = +ve abscissa , +ve ordinate
• Points in 2nd quadrant = -ve abscissa , +ve ordinate
• Points in 3rd quadrant = -ve abscissa , -ve ordinate
• Points in 4th quadrant = +ve abscissa , -ve ordinate

Now, among the given points only the point C (-3,-2) has both the -ve abscissa and -ve ordinate. So, it will lie in the third quadrant (Q3).

Hence, C (-3,-2) lies in Q3