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In the figure above, CX is the radius of the circle with center O. Whi

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V
Joined: 02 Sep 2009
Posts: 42607

Kudos [?]: 135655 [0], given: 12705

In the figure above, CX is the radius of the circle with center O. Whi [#permalink]

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New post 29 Nov 2017, 22:04
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A
B
C
D
E

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Question Stats:

93% (00:24) correct 7% (02:11) wrong based on 15 sessions

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In the figure above, CX is the radius of the circle with center O. Which of the following triangles has the least area?

(A) ∆ CPX
(B) ∆ CQX
(C) ∆ CRX
(D) ∆ CSX
(E) ∆ CTX

[Reveal] Spoiler:
Attachment:
2017-11-30_1001.png
2017-11-30_1001.png [ 12.52 KiB | Viewed 278 times ]
[Reveal] Spoiler: OA

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Kudos [?]: 135655 [0], given: 12705

1 KUDOS received
Manager
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S
Joined: 17 Oct 2016
Posts: 150

Kudos [?]: 38 [1], given: 89

Location: India
Concentration: Operations, Strategy
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Re: In the figure above, CX is the radius of the circle with center O. Whi [#permalink]

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New post 29 Nov 2017, 22:28
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A

Comparing the height of all the triangles height of the triangle CPX seems to be the least. Hence the area of triangle CPX will be the least


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Kudos [?]: 38 [1], given: 89

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B
Joined: 31 Jul 2017
Posts: 119

Kudos [?]: 17 [0], given: 333

In the figure above, CX is the radius of the circle with center O. Whi [#permalink]

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New post 01 Dec 2017, 08:46
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Bunuel wrote:
Image
In the figure above, CX is the radius of the circle with center O. Which of the following triangles has the least area?

(A) ∆ CPX
(B) ∆ CQX
(C) ∆ CRX
(D) ∆ CSX
(E) ∆ CTX

[Reveal] Spoiler:
Attachment:
2017-11-30_1001.png


Area of any Triangle is given by - \(\frac{1}{2}\)abSinC = \(\frac{1}{2}\)bcSinA= \(\frac{1}{2}\)acSinB.. It will be maximum when Angle is 90 and minimum when close to zero or 180.

Hence A.

Kudos [?]: 17 [0], given: 333

In the figure above, CX is the radius of the circle with center O. Whi   [#permalink] 01 Dec 2017, 08:46
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In the figure above, CX is the radius of the circle with center O. Whi

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