Given a semicircle with O as the centre, as shown in the figure, the ratio…

GATE · 2020 · EE · General Aptitude

Given a semicircle with O as the centre, as shown in the figure, the ratio AC‾+CB‾AB‾\frac{\overline{AC}+\overline{CB}}{\overline{AB}} is _____, where AC‾\overline{AC}, CB‾\overline{CB} and AB‾\overline{AB} are chords.

Semicircle with diameter AB and centre O at its midpoint. C is the top point vertically above O. Segments AC and CB form two sloping chords, and CO is perpendicular to AB.
  1. A.

    2\sqrt{2}

  2. B.

    3\sqrt{3}

  3. C.

    2

  4. D.

    3

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