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Q.

Given two concentric circles with centre ‘O’. A line cuts the circles at A, B, C, D respectively, If AB= 10 cm, then the length of CD is

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a

5 cm

b

10 cm

c

7.5 cm

d

15 cm

answer is B.

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Detailed Solution

Question Image

AB=10  cm

Draw OM ⊥ AD

Perpendicular bisects chord AD & BC

∴BM=CM &AM=DM

AB+BM=MC+CD

⇒AB=CD

CD=10 cm

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Given two concentric circles with centre ‘O’. A line cuts the circles at A, B, C, D respectively, If AB= 10 cm, then the length of CD is