math help urgent plz

Question

iosangel · Answer

justjm · Answer

Polar coordinates are in the form of $(r, \theta)$ and graphed on the polar coordinate system. Unlike the Cartesian coordinate plane where you plot x and y, you will have a radius $r$ which you extend from the origin, and then you would move counterclockwise for the angle $\theta$.

Example:

$(2, \pi)$
|dw:1587952059534:dw|
The radius is 2 so I extended 2 units, then I went around counterclockwise by a value of pi

justjm · Answer

Also to your question if r is positive then it would be in the same quadrant as the direction of theta and negative then it would be in the quadrant opposite to theta

That'll help you determine the choices

iosangel · Answer

quadrant II 
in the opp of 
in the same quadrant as

iosangel · Answer

are my answers correct ?

justjm · Answer

#3 is correct. r doesn't tell what quadrant the point is in, but it only tells you whether the point would be in the same or opposite quadrant as the angle of rotation

justjm · Answer

also here r>0, so it would not be opposite for #2

justjm · Answer

View this pdf to help you out. I think they explain it better https://www.alamo.edu/contentassets/35e1aad11a064ee2ae161ba2ae3b2559/additional/math2412-polar-coordinates.pdf

iosangel · Answer

so quad I because r is pos and then it will lie on the terminal side which is quad I

justjm · Answer

$\color{#0cbb34}{\text{Originally Posted by}}$ @justjm
For #1 and #2 none of the answers have to do with the coordinates
$\color{#0cbb34}{\text{End of Quote}}$
Pardon, I don't mean coordinates.

I meant to say that the correct options for #1 and #2 would be the "in the same/opposite quadrant"

iosangel · Answer

and for option #3 it would be one of the quads?

justjm · Answer

I don't think the blank portion is asking about where the point is

iosangel · Answer

quad II
quad IV
in the same quad

iosangel · Answer

wait nvm

iosangel · Answer

in the same quad 
in the opp quad
quad II

justjm · Answer

All seem correct and you are right that the point lies in quadrant 2 but I'm curious on #3, because the way they worded it suggests that the answer they are looking for is not the quadrant in which the point lies in but rather asking more directly about the sign for $r$. This leads me to think that your original choice that you had chosen for #3 (in the same quadrant as) is correct.