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The locus of midpoints of the perpendicu...

The locus of midpoints of the perpendiculars drawn from points on line `x=2y` to the line `x=y` is `L_(1)` .Suppose `(h,k)` lies on `L_(1)` ,If `L_(2)` passing through `(h,k)` and `(4,3)` is perpendicular to `L_(1)` then value of `7h+5k` is `N`, sum of digits of `N` is

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