A person standing at the junction (crossing) of two straight paths ...

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A person standing at the junction (crossing) of two straight paths represented by the equations \( 2 x-3 y+4=0 \) and \( 3 x+4 y-5=0 \) wants to reach the path whose equation is \( 6 x-7 y+8=0 \) in the least time. Find equation of the path that he should follow.
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