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For what value of k are the two straight lines `3x+4y=1` and `4x+3y+2k=0` equidistant from the point (1, 1) ?

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For what value of k are the two straight lines `3x+4y=1` and `4x+3y+2k=0` equidistant from the point (1, 1) ?
A. `1/2`
B. `2`
C. `-2`
D. `- 1/2`
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Correct Answer - D
`d_(1)=|(3xx1+4xx1-1)/sqrt(3^(2)+4^(2))|=6/5`
`d_(2)=|(4xx1+3xx1+2K)/sqrt(3^(2)+4^(2))|=(7+2K)/5`
`d_(1)=d_(2)`
`7+2K=6`
`k=-1/2`
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