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Question

If x is the length of perpendicular CD drawn on the diameter AB and given that AC = 32 cm, BC = 18 cm, then x = ___ cm.



Correct Answer
A

24

Your Answer
B

32

Your Answer
C

16

Your Answer
D

22


Solution

The correct option is A

24


We know that

AC×BC=DC2

32×18=x2

x2=576

x=24,24

Discard negative value, as length cannot be negative.

Hence, x = 24 cm

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