Let tangent at point A, B and vertex \( (V) \) of parabola is \( x-...

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Let tangent at point A, B and vertex \( (V) \) of parabola is \( x-2 y+1=0,3 x+y+4=0 \) and \( y=x \) respectively. If focus of parabola is \( (a, b) \) then find the value of \( (5 a+b) \).
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