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In the figure above, circle P and circle R, with centers P and R respe

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In the figure above, circle P and circle R, with centers P and R respe [#permalink]

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New post 28 Nov 2017, 20:01
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In the figure above, circle P and circle R, with centers P and R respectively, intersect at Q and S. If circle P is larger than circle R, which of the following must be true?

I. Area of ∆ PQR = Area of ∆ RSP
II. Area of ∆ PSQ = area of ∆ QRS
III. PR and QS bisect each other

(A) I only
(B) II only
(C) III only
(D) I and II only
(E) I, II and III

[Reveal] Spoiler:
Attachment:
2017-11-28_1024_002.png
2017-11-28_1024_002.png [ 10.61 KiB | Viewed 148 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 135771 [0], given: 12708

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Re: In the figure above, circle P and circle R, with centers P and R respe [#permalink]

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New post 28 Nov 2017, 20:37
A

I. Triangle PQR and PRS lie on the same base and also PQ=PS, QR=RS. Hence their areas are equal
II. Triangle PQS and QRS lie on the same base however PQ is not equal to QR and PS is not equal to RS. Hence their areas are not equal. But they are isosceles triangle with proportionate areas.
III. QS is bisected always as PR lies at the mid point. However PR is not bisected always as it depends on the distance between P and R


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Kudos [?]: 38 [0], given: 89

Re: In the figure above, circle P and circle R, with centers P and R respe   [#permalink] 28 Nov 2017, 20:37
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In the figure above, circle P and circle R, with centers P and R respe

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