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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.

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The correct Answer is:
`119x+102y=205`
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MODERN PUBLICATION-STRAIGHT LINES -Revision exercise
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  11. One side of a rectangle lies along the line 4x+7y+5=0. Two of its vert...

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  12. Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0 . If ...

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  13. One side of a square is inclined to the x-axis at an angle alpha and o...

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  14. On the portion of the line x+3y-3=0 which is intercepted between the c...

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

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  19. Let (2,1), (-3,-2) and (a, b) form a triangle. Show that the collectio...

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