Find \( \lambda \), if the line \( (3 x-2 y+5)+\lambda(3 x-y+4)= \) 0 passes through the mid-poi...

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Find \( \lambda \), if the line \( (3 x-2 y+5)+\lambda(3 x-y+4)= \) 0 passes through the mid-point of the line joining the points \( A(2,3) \) and \( B(4,9) \).
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