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# A circle of radius 5 cm has chord RS at a distance of 3 units from it.

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Intern
Joined: 20 May 2018
Posts: 24
Location: India
GMAT 1: 740 Q60 V43
A circle of radius 5 cm has chord RS at a distance of 3 units from it.  [#permalink]

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14 Mar 2020, 06:14
1
1
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Difficulty:

(N/A)

Question Stats:

75% (02:20) correct 25% (03:31) wrong based on 4 sessions

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A circle of radius 5 cm has chord RS at a distance of 3 units from it. Chord PQ intersects with chord RS at T such that TS = 1/3 of RT. Find minimum value of PQ.

A. 6√3
B. 4√3
C. 8√3
D. 2√3
E. 3√3
Intern
Joined: 07 Jan 2020
Posts: 7
Re: A circle of radius 5 cm has chord RS at a distance of 3 units from it.  [#permalink]

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14 Mar 2020, 07:52
Pls explain this question ?
VP
Joined: 28 Jul 2016
Posts: 1019
Location: India
Concentration: Finance, Human Resources
Schools: ISB '18 (D)
GPA: 3.97
WE: Project Management (Investment Banking)
Re: A circle of radius 5 cm has chord RS at a distance of 3 units from it.  [#permalink]

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14 Mar 2020, 20:29
1
from the given
length of chord RS = 8
now RT * TS = PT*TQ
2*6 = pt*TQ
= 12
minimum will be when pt= tq =x
or $$x^2= 12$$
or $$x = 2\sqrt{3}$$
thus PQ length = 2x
$$= 4\sqrt{3}$$

thus B sufficient
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Re: A circle of radius 5 cm has chord RS at a distance of 3 units from it.   [#permalink] 14 Mar 2020, 20:29