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In the rectangular coordinate system above, if OP < PQ, is

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Re: In the rectangular coordinate system above, if OP < PQ, is [#permalink]

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New post 17 Jul 2015, 06:46
So, we have OP<PQ, Area of OPQ = (PS*OQ) / 2 > 48 --> PS*OQ > 96 ?

1) P (6,8) means --> Heght PS=8, OS=6 then we can find OP^2=8^2+6^2=100, OP=10
Since PQ>OP --> SQ>6 (SQ^2=PQ^2 (let's say 10,1) - 64 means SQ>6) --> OQ>12 -> 8*OQ(>12) > 96 SUFFICIENT
2) We need the height to be able to calculate the area - INSUFFICIENT
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Re: In the rectangular coordinate system above, if OP < PQ, is [#permalink]

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New post 05 Oct 2015, 03:57
Bunuel wrote:
Kriti2013 wrote:
Hi,

Could you explain the following :

Since OP<PQ then OS<SQ and the base OQ is more than 12


Thanks.


Since OS=6 and OS<SQ, then SQ>6, thus OQ=OS+SQ=6+(more than 6)=(more than 12).

Hope it's clear.


Hi Bunuel,

Could you explain why OS < SQ? is there a theory/concept behind it?
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Re: In the rectangular coordinate system above, if OP < PQ, is [#permalink]

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New post 05 Oct 2015, 05:37
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harishbiyani8888 wrote:
Bunuel wrote:
Kriti2013 wrote:
Hi,

Could you explain the following :

Since OP<PQ then OS<SQ and the base OQ is more than 12


Thanks.


Since OS=6 and OS<SQ, then SQ>6, thus OQ=OS+SQ=6+(more than 6)=(more than 12).

Hope it's clear.


Hi Bunuel,

Could you explain why OS < SQ? is there a theory/concept behind it?


Image

PS^2 + OS^2 = OP^2
PS^2 + SQ^2 = PQ^2

Since we are given that OP < PQ, then OS < SQ.

Hope it's clear.
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In the rectangular coordinate system above, if OP < PQ, is [#permalink]

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New post 11 Sep 2017, 23:59
eybrj2 wrote:
Image
In the rectangular coordinate system above, if OP < PQ, is the area of region OPQ greater than 48 ?

(1) The coordinates of point P are (6,8)

(2) The coordinates of point Q are (13,0)

Attachment:
Triangle.png


Let us say OP=PQ
1) P= 6,8
OP =10
PQ=10 we have assumed
=> Q = 12,0

A= 0.5 x 8 x 12 =48
But it is given OP < PQ => A<48 DEFINITE NO
Sufficient
2) Q= 13,0
Insufficient as it will depend upon height ie y coordinate of P
if y coordinate of p < 96/13 then only above false => if y coord of P > 96/13 above is true
we dont know y coord of P => INSUFFICIENT


ANSWER IS A
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In the rectangular coordinate system above, if OP < PQ, is   [#permalink] 11 Sep 2017, 23:59

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