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Re: Wrong GMATPrep Problem [#permalink]
shammokando wrote:
The coordinates for the left intersection were "(-root3, 1) and the right intersection was (r,s). The question was, what is r?

Looking at this, the only answer I can understand is positive root3, since, if it's a right angle bisected by the y axis, the y's would be the same and the x would be the same absolute value.
Thanks!


the bolded assumption is not corrct. You are assuming that the angle between x axis and the line passing through (-root3, 1) is 45 but its not given in the question.

based on the information given
we know that the length of (-root3, 1) to origin and length of (r,s) to the origin are the same
so r^2 + s^2 = 4 ... I

and also as lines passing through (-root3, 1) and (r,s) are perpendicular, the product of slopes is -1

s/r * 1/-root3 = -1
s = r * -root3 ... II
substitutiona II in 1
r = 1
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Re: Wrong GMATPrep Problem [#permalink]
shammokando wrote:
I resketched my copy of it (I copied it down, didn't think to screenshot, and now I can't access it again...)

Also, is there anyone I can look at my old test again? I thought I clicked for it to keep the test unfinished. It's making me take the test again if I click practice test 1... is this a new test?

hi,
you have mentioned that the angle between the two lines is a right angle.
however it is nowhere mentioned that the y-axis bisects the right angle.
so we will have to solve it using the slopes of the lines.
the slope of the line which passes through \((-\sqrt{3},1)\) and (0,0) when multiplied with the slope of the line which passes through (r,s) and (0,0) will give -1 as the product.

hence on finding the slopes of both equations, we can find out that r will be 1.

Originally posted by fivezero7 on 19 Apr 2010, 22:34.
Last edited by fivezero7 on 20 Apr 2010, 00:09, edited 1 time in total.
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Re: Wrong GMATPrep Problem [#permalink]
Thanks! Very helpful

Posted from my mobile device
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Re: Wrong GMATPrep Problem [#permalink]
we have:

\(r^2+s^2=4\)
and
\(\frac{1}{\sqrt{3}}=\frac{r}{s}\)

So, r=1



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