Question

Suppose you are given a coordinate system. Determine the quadrant in which the following points lie:
$\left(i\right)$ $A(4,5)$; $\left(ii\right)$ $B(-4,-5)$; $\left(iii\right)$ $C(4,-5)$.

Answer 1

As per the image,

${\text{I}}^{st}$ quadrant has both the co-ordinates positive.

${\text{II}}^{nd}$ quadrant has $x$ co-ordinate negative and $y$ co-ordinate positive.

${\text{III}}^{rd}$ quadrant has both co-ordinates positive.

${\text{IV}}^{th}$ quadrant has $x$ co-ordinate positive and $y$ co-ordinate negative.

$\left(i\right)$ $A(4,5)$ has both co-ordinate postive. So, it lies in first quadrant.

$\left(ii\right)$ $B(-4,-5)$ has both co-ordinates negative. So, it lies in third quadrant.

$\left(iii\right)$ $C(4,-5)$ has $x$ positive and $y$ negative. So, it lies in fourth quadrant.