In figure, if OA=5cm, AB=8 cm and OD is perpendicular to AB, then CD is equal to A. 2 cmB. 3 cmC. 4 cmD. 5 cm

In figure, if OA=5cm, AB=8 cm and OD is perpendicular to AB, then CD i

1.	In figure, if OA=5cm, AB=8 cm and OD is perpendicular to AB, then CD is equal to A. 2 cmB. 3 cmC. 4 cmD. 5 cm
Answer» Correct Answer - A We know that, the perpendicular from centre of a circle to a chord bisects the chord. `:. AC=CB=1/2AB=1/2xx8=4cm [:.AB=8cm," given"]` ` :. OA=5cm ["given"]` `"In right angled "DeltaOCA, AO^(2)=AC^(2)+OC^(2) ["by Pythagoras theorem"]` `rArr (5)^(2)=(4)^(2)+OC^(2)` `rArr 25=16+OC^(2)` ` rArrOC^(2)=25-16=9` `rArr OC=3cm` [taking positing square root, because length is always positive] `:.OA=OD ["same redius of a circle"]` `rArr OD=5cm` ` :. CD=OD-OC=5-3=2cm`

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In figure, if OA=5cm, AB=8 cm and OD is perpendicular to AB, then CD is equal to A. 2 cmB. 3 cmC. 4 cmD. 5 cm

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