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I 'll wait for sometime before I post my explanation incase others want to try.

I think as a general rule, when the lines are of the same length (radius in this case) and they are perpendicular to each other ...... they are mirror images of each other and their co-ordinates are merely interchanged hence (-sqrt3, 1) would become (1,sqrt3).

If you have a better explanation i would love to know it !!

I 'll wait for sometime before I post my explanation incase others want to try.

I think as a general rule, when the lines are of the same length (radius in this case) and they are perpendicular to each other ...... they are mirror images of each other and their co-ordinates are merely interchanged hence (-sqrt3, 1) would become (1,sqrt3).

If you have a better explanation i would love to know it !!

:D thats the trap I fell for. There is a classic parabola question using the mirror image and I thought this question was on the similar lines.

so i just learned this trick the other day...if you have two lines intersecting to form a righ-angle triangle..you can simply use the formula, slope Line1*slope Line2=-1..

basing that slope of line 1 is -sqrt(3)/1*1/sqrt(3)..means s=1..

if 2 lines are perpendicular to each other the product of their slopes is -1 ->m1= -1/m2 if 2 lines are parallel to each other the product of their slopes are equal ->m1=m2