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Q.

Given two concentric circles with centre ‘O’. A line cuts the circles at A, B, C, D respectively, If $A B =$ 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

$A B = 10$ cm

Draw OM $⊥$ AD

Perpendicular bisects chord AD & BC

$∴ B M = C M$ & $A M = D M$

$A B + B M = M C + C D$

$\Rightarrow A B = C D$

$C D = 10$ 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