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A person standing at the juction (crossi...

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

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The correct Answer is:
`119x+102y-125=0`
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