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If P, Q(-3,-4) and R(-4,-3) are 3 points in the coordinate plane,

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If P, Q(-3,-4) and R(-4,-3) are 3 points in the coordinate plane,  [#permalink]

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If P, Q(-3,-4) and R(-4,-3) are 3 points in the coordinate plane, is QP>PR?

I. P is a point lying on the line y=x
II. Point P is in the first quadrant.

Originally posted by kiran120680 on 02 Mar 2019, 10:09.
Last edited by kiran120680 on 05 Mar 2019, 01:27, edited 1 time in total.
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Re: If P, Q(-3,-4) and R(-4,-3) are 3 points in the coordinate plane,  [#permalink]

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New post 02 Mar 2019, 21:36
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Can you check the OA? I don't believe this Statement (1) is sufficient.

If If P, Q(-3,4) and R(-4,-3) are 3 points in the coordinate plane, is QP>PR?

If P = (-3, -3), let's say, then PR = 1 and QP = 7, the answer is YES.
But if P = (4, 4), then PR =10.6 and QP = 7, then answer is NO.
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Re: If P, Q(-3,-4) and R(-4,-3) are 3 points in the coordinate plane,  [#permalink]

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New post 03 Mar 2019, 21:26
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kiran120680 wrote:
If P, Q(-3,4) and R(-4,-3) are 3 points in the coordinate plane, is QP>PR?

I. P is a point lying on the line y=x
II. Point P is in the first quadrant.




In no way Option A can be correct because
If P lies in 1st quadrant => QP<PR for all values of P
But
If P lies in 3rd quadrant => QP>PR for all values of P.

IMO, Option B is sufficient to say that QP>PR. Please correct the OA.
Thanks.
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If P, Q(-3,-4) and R(-4,-3) are 3 points in the coordinate plane,  [#permalink]

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New post Updated on: 05 Mar 2019, 06:30
kiran120680 wrote:
If P, Q(-3,4) and R(-4,-3) are 3 points in the coordinate plane, is QP>PR?

I. P is a point lying on the line y=x
II. Point P is in the first quadrant.


I think what you intended to do here was to use y=x as the mirror but the values you provided for Q and R didn't work well.
Had the point been (-3, 4) and (4, -3), they would have been at the same distance from x=y and then if the point P was on x=y line, it would be at the same distance from both these points.
Maybe it's just a typo. It would have been a good question though!

Originally posted by sumert on 04 Mar 2019, 21:04.
Last edited by sumert on 05 Mar 2019, 06:30, edited 1 time in total.
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If P, Q(-3,-4) and R(-4,-3) are 3 points in the coordinate plane,  [#permalink]

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New post 05 Mar 2019, 01:28
GMATRockstar wrote:
Can you check the OA? I don't believe this Statement (1) is sufficient.

If If P, Q(-3,4) and R(-4,-3) are 3 points in the coordinate plane, is QP>PR?

If P = (-3, -3), let's say, then PR = 1 and QP = 7, the answer is YES.
But if P = (4, 4), then PR =10.6 and QP = 7, then answer is NO.


Sorry for the typo error. Now corrected it.
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If P, Q(-3,-4) and R(-4,-3) are 3 points in the coordinate plane,  [#permalink]

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New post 25 Aug 2019, 12:16
To do this question faster, instead of using distance formula to take out values of line segment QP and PR, better way would be to plot the points and randomly take based on statement 1 and statement 2 and
you'll see on graph that from statement 1 QP and PR are equal and hence we get a definite NO so statement 1 is SUFFICIENT.

BUT from statememt 2, when we plot points, it can be observed that there is no definite answer. There are two answers YES and NO. Therefore, NOT SUFFICIENT.

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If P, Q(-3,-4) and R(-4,-3) are 3 points in the coordinate plane,   [#permalink] 25 Aug 2019, 12:16
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