jee-main 2017 Q68

jee-main · India · 08apr Circles Chord Length and Chord Properties

If two parallel chords of a circle, having diameter 4 units, lie on the opposite sides of the center and subtend angles $\cos ^ { - 1 } \left( \frac { 1 } { 7 } \right)$ and $\sec ^ { - 1 } ( 7 )$ at the center respectively, then the distance between these chords is:
(1) $\frac { 8 } { \sqrt { 7 } }$
(2) $\frac { 16 } { 7 }$
(3) $\frac { 4 } { \sqrt { 7 } }$
(4) $\frac { 8 } { 7 }$

If two parallel chords of a circle, having diameter 4 units, lie on the opposite sides of the center and subtend angles $\cos ^ { - 1 } \left( \frac { 1 } { 7 } \right)$ and $\sec ^ { - 1 } ( 7 )$ at the center respectively, then the distance between these chords is:\\
(1) $\frac { 8 } { \sqrt { 7 } }$\\
(2) $\frac { 16 } { 7 }$\\
(3) $\frac { 4 } { \sqrt { 7 } }$\\
(4) $\frac { 8 } { 7 }$

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