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The distance of the mid -point of line j...

The distance of the mid -point of line joining two ponts (4,0) and (0,4) from the centre of the circle `x^(2)+y^(2)=16` is

A

`sqrt(2)`

B

`2sqrt(2)`

C

`3sqrt(2)`

D

`2sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Mid point of (4,0) and (0,4) is (2,2)
`:.` Required distance
`=sqrt((2-0)^(2)+(2-0)^(2))=sqrt(8)=2sqrt(2)`
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