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Kaushik786
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A circle of radius 5 cm has chord RS at a distance of 3 units from it. 14 Mar 2020, 07:14
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B
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55% (hard)

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

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A circle of radius 5 cm has chord RS at a distance of 3 units from it. 14 Mar 2020, 08:52
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Pls explain this question ?
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A circle of radius 5 cm has chord RS at a distance of 3 units from it. 14 Mar 2020, 21:29
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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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