Miscellaneous Exercise

A person standing at the junction (crossing) of two straight paths represented by 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 equation of the path that he should follow.

GIVEN: $2x-3y+4=0$...(i) $3x+4y-5=0$...(ii) $6x-7y+8=0$...(iii) Here the individual is remaining at the intersection of the ways addressed by lines (1) and (2). By settling conditions (1) and (2) we...

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