1.

A square is incribed in a circle `x^2+y^2-6x+8y-103=0` such that its sides are parallel to co-ordinate axis then the distance of the nearest vertex to origin, is equal to (A) `13` (B) `sqrt127` (C) `sqrt41` (D) `1`

Answer» equation of circle
`x^2+y^2-6x+8y-103=0`
centre(3,-4)
`r^2=8sqrt2`
`r=8sqrt2`
AP=PC=r=`8sqrt2`
AC=`16sqrt2`
side=16
OA=`sqrt((-5)^2+(-12)^2)=13`
OB=`sqrt(11^2+12^2)=sqrt265`
OC=`sqrt(11^2+12^2)=sqrt137`
OD=`sqrt(5^2+4^2)=sqrt41`


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