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The vertices of a Delta OBC are O(0,0...

The vertices of a `Delta OBC ` are `O(0,0) ,B(-3,-1),(-1,-3)` .Find the equation of the parallel to bC and intersecting the sides OB and OC whose perpendicular distance from the origin is `1/2`

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Verified by Experts

The correct Answer is:
8
Slope of `BC=-1` slope of line parallel to `BC=-a/b`

`:.=(-a)/b =-1`
`impliesa=b`
Distance of line `ax+by+2=0` from the origin
`=2/(sqrt(a^(2)+b^(2)))=1/(sqrt(2))impliesa^(2)+b^(2)=8`
`:.a^(2)=b^(2)=4`
`:.a=b=2`
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