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The locus of the midpoint of a chord of the circle `x^2+y^2=4` which subtends a right angle at the origins is (a) `x+y=2` (b) `x^2+y^2=1` `x^2+y^2=2` (d) `x+y=1`

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`/_OAD` and`/_OBD`
OA=OB
OD=OD
AD=DB
`/_OAD cong /_OBD`
`/_AOD=/_BOD=90/2=45`
`cos45=(OB)/(OA)`
`1/sqrt2=sqrt(h^2+k^2)/2`
...
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