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In the xy-plane, does the line with equation y=3x+2 contain

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Intern
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Joined: 23 Jun 2009
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In the xy-plane, does the line with equation y=3x+2 contain  [#permalink]

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New post 22 Jul 2009, 00:30
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In the xy-plane, does the line with equation y=3x+2 contain the point (r,s)?
1) (3r+2-s)(4r+9-s) = 0
2) (4r-6-s)(3r+2-s)=0


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Name: Ronak Amin
Schools: IIM Lucknow (IPMX) - Class of 2014
Re: DS Question. Please solve. Anyone. Thanks.  [#permalink]

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New post 22 Jul 2009, 00:49
1
uzonwagba wrote:
In the xy-plane, does the line with equation y=3x+2 contain the point (r,s)?
1) (3r+2-s)(4r+9-s) = 0
2) (4r-6-s)(3r+2-s)=0


C.

If (r,s) is on the line, then it must satisfy the equation s = 3r + 2. That is, if we get this equality from the given information then we can say that (r,s) is on the line y=3x+2.

1) product of two expressions is 0 => either of them or both are 0
=> 3r +2 - s = 0 , here we get s = 3r + 2.
=> But this equation might not be 0. It is possible that 4r + 9 - s = 0

So we cant say anything from this. INSUFF

2) we get s=3r + 2 , OR s = 4r - 6.
INSUFF.

Combining, s = 3r + 2, hence the line must pass through (r,s)
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Re: DS Question. Please solve. Anyone. Thanks.  [#permalink]

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New post 22 Jul 2009, 00:59
Thanks! ;)

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If you would like to discuss this question please re-post it in the respective forum. Thank you!

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Re: DS Question. Please solve. Anyone. Thanks. &nbs [#permalink] 22 Jul 2009, 00:59
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