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In the circle above with center R, if PR < PQ, which of the following

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In the circle above with center R, if PR < PQ, which of the following [#permalink]

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New post 14 Nov 2017, 00:18
00:00
A
B
C
D
E

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In the circle above with center R, if PR < PQ, which of the following is true?

(A) x < y
(B) 60 < y
(C) 60 < x
(D) x = y
(E) x < 2y

[Reveal] Spoiler:
Attachment:
2017-11-14_1158.png
2017-11-14_1158.png [ 7.41 KiB | Viewed 298 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 135629 [0], given: 12705

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In the circle above with center R, if PR < PQ, which of the following [#permalink]

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New post 14 Nov 2017, 00:53
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C

The length of PQ and PR will be equal when angle x=y=60. When PQ is increasing the corresponding opposite angle x will increase. Correspondingly y will decrease.


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Last edited by Sasindran on 14 Nov 2017, 08:25, edited 1 time in total.

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Re: In the circle above with center R, if PR < PQ, which of the following [#permalink]

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New post 14 Nov 2017, 01:21
Bunuel wrote:
Image
In the circle above with center R, if PR < PQ, which of the following is true?

(A) x < y
(B) 60 < y
(C) 60 < x
(D) x = y
(E) x < 2y

[Reveal] Spoiler:
Attachment:
2017-11-14_1158.png


We already know that PR = QR = Radius of the circle

For PR to be equal to PQ, the angle at the centre must be 60˚ so that PQR becomes an equilateral Triangle with each side equal to radius

and for PR to be smaller than PQ, angle x˚must be greater than 60˚ and angle y˚ must be smaller than 60˚

Hence, Answer: Option C
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Re: In the circle above with center R, if PR < PQ, which of the following [#permalink]

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New post 14 Nov 2017, 01:23
Sasindran wrote:
B

The length of PQ and PR will be equal when angle x=y=60. When PQ is increasing the corresponding opposite angle x will increase. Correspondingly y will decrease.


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@Sasidran : I think you gave the correct reasoning but marked the wrong option.
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Re: In the circle above with center R, if PR < PQ, which of the following [#permalink]

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New post 14 Nov 2017, 06:49
GMATinsight wrote:
Sasindran wrote:
B

The length of PQ and PR will be equal when angle x=y=60. When PQ is increasing the corresponding opposite angle x will increase. Correspondingly y will decrease.


Sent from my iPhone using GMAT Club Forum


@Sasidran : I think you gave the correct reasoning but marked the wrong option.

Oops. I always do it as I’m posting from phone. Edited the post. Thank u

Posted from my mobile device
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Kudos [?]: 38 [0], given: 89

Re: In the circle above with center R, if PR < PQ, which of the following   [#permalink] 14 Nov 2017, 06:49
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