Q.

Two parallel chords of a circle of radius 2 are at a distance 3+1 apart. If the chords subtend at the centre, angles  πkand  2πk where k >0 then k is

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a

8

b

5

c

12

d

3

answer is D.

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Detailed Solution

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 Let θ1=π2k,θ2=πkcosθ2=d2d=2cosθ2cosθ1=3+1d2

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Two parallel chords of a circle of radius 2 are at a distance 3+1 apart. If the chords subtend at the centre, angles  πkand  2πk where k >0 then k is