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

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Math Expert
Joined: 02 Sep 2009
Posts: 46284
In the figure above, CX is the radius of the circle with center O. Whi [#permalink]

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29 Nov 2017, 23:04
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Difficulty:

15% (low)

Question Stats:

96% (00:32) correct 4% (02:11) wrong based on 26 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

Attachment:

2017-11-30_1001.png [ 12.52 KiB | Viewed 474 times ]

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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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29 Nov 2017, 23:28
1
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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Senior Manager
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In the figure above, CX is the radius of the circle with center O. Whi [#permalink]

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01 Dec 2017, 09:46
1
Bunuel wrote:

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

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.
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In the figure above, CX is the radius of the circle with center O. Whi   [#permalink] 01 Dec 2017, 09:46
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