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Is (-2,-√3) a point on line OQ?

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Is (-2,-√3) a point on line OQ?  [#permalink]

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New post 18 Jul 2019, 15:02
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  65% (hard)

Question Stats:

55% (02:02) correct 45% (01:47) wrong based on 29 sessions

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Re: Is (-2,-√3) a point on line OQ?  [#permalink]

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New post 18 Jul 2019, 20:37
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gmatbusters wrote:
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Is (-2,-√3) a point on line OQ?

(1) P = (-1,√3)
(2) Angle POQ = 60 degrees


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To find whether slope of OQ is √3/2 or not.

(1) Slope of the line P can be calculated as -√3, and we can determine angle which OP makes with negative x axis. But, no information related to OQ given. Insufficient.

(2) Angle POQ do not give any specific information about OQ. Insufficient.

(1)+(2), we know angle which OP makes with negative x axis from (1), therefore angle which OQ makes with negative x axis can be calculated.
From this information we will be able to tell whether slope of OQ is √3/2 or not. We actually dont need to calculate the value as this is a DS question.


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Re: Is (-2,-√3) a point on line OQ?  [#permalink]

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New post 04 Aug 2019, 17:42
gmatbusters wrote:
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Is (-2,-√3) a point on line OQ?

(1) P = (-1,√3)
(2) Angle POQ = 60 degrees


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Hi gmatbusters,

Can you please post the official OE for this question. Thank you.
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Re: Is (-2,-√3) a point on line OQ?  [#permalink]

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New post 05 Aug 2019, 01:44
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Solution attached

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gmatbusters wrote:
Image

Is (-2,-√3) a point on line OQ?

(1) P = (-1,√3)
(2) Angle POQ = 60 degrees


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Attachment:
Sol.JPG
Sol.JPG [ 90.76 KiB | Viewed 180 times ]

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Re: Is (-2,-√3) a point on line OQ?   [#permalink] 05 Aug 2019, 01:44
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