Coordinate geometry DS

[akshay.jashnani]

If ab not equal to 0, points (-a,b) and (-b,a) are in the same quadrant of the xy-plane, is (-x,y) in this same quadrant?

(1) xy > 0
(2) ax > 0

I am not really sure how to approach this problem. Its evident that the slope of the line that passes through (-a,b) and (-b,a) is 1 but is knowing that even useful?

Thanks!

[jnelson0612]

Akshay,
Do you have an answer to this question?

[rite2deepti]

OA is C

[RonPurewal]

big fat discussion of this one here
if-ab-does-not-equal-zero-t2975.html