GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 30 May 2020, 11:07

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

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

Author Message
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]

### Show Tags

14 Mar 2020, 06:14
1
1
00:00

Difficulty:

(N/A)

Question Stats:

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

### HideShow timer Statistics

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]

### Show Tags

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]

### Show Tags

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
_________________

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