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A rectangle PQRS contains a circle C, with center O such that C is the

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Joined: 22 Aug 2013
Posts: 1435
Location: India
A rectangle PQRS contains a circle C, with center O such that C is the  [#permalink]

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22 Jul 2018, 10:58
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Difficulty:

65% (hard)

Question Stats:

45% (01:41) correct 55% (01:21) wrong based on 26 sessions

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A rectangle PQRS contains a circle C, with center O such that C is the largest possible circle which can be inscribed inside PQRS without crossing the sides of this rectangle. Is PQRS a square?

(1) OP = OR

(2) OP = OQ
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Joined: 02 Aug 2009
Posts: 7764
Re: A rectangle PQRS contains a circle C, with center O such that C is the  [#permalink]

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22 Jul 2018, 18:57
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amanvermagmat wrote:
A rectangle PQRS contains a circle C, with center O such that C is the largest possible circle which can be inscribed inside PQRS without crossing the sides of this rectangle. Is PQRS a square?

(1) OP = OR

(2) OP = OQ

Both statements tell us that the centre of circle is equidistant from four vertices..

But the same can be both the rectangle or square. See attached figire
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PicsArt_07-23-07.26.38.jpg [ 53.23 KiB | Viewed 244 times ]

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Re: A rectangle PQRS contains a circle C, with center O such that C is the   [#permalink] 22 Jul 2018, 18:57
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