The locus of the mid point of a chord of the circle `x^2+y^2=4` which subtends a right angle at the origin is

The locus of the mid point of a chord of the circle `x^2+y^2=4` which

1.	The locus of the mid point of a chord of the circle `x^2+y^2=4` which subtends a right angle at the origin is
Answer» `/_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` `1/2=(h^2+k^2)/4` `h^2+k^2=2` `x^2+y^2=2` option 3 is correct.

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