If two parallel chords of a circle, having diameter 4units, lie on the opposite sides of the center and subtend angles ${\cos ^{ - 1}}\left( {{1 \over 7}} \right)$ and sec$-$1 (7) at the center respectivey, then the distance between these chords, is :

Question

If two parallel chords of a circle, having diameter 4units, lie on the opposite sides of the center and subtend angles ${\cos ^{ - 1}}\left( {{1 \over 7}} \right)$ and sec^$-$1 (7) at the center respectivey, then the distance between these chords, is :

${4 \over {\sqrt 7 }}$

${8 \over {\sqrt 7 }}$

${8 \over 7}$

${16 \over 7}$

Solution

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