Let the equation of the plane, that passes through the point (1,4,−3 – InterviewSolution

1.	Let the equation of the plane, that passes through the point (1,4,−3) and contains the line of intersection of the planes 3x−2y+4z−7=0 and x+5y−2z+9=0, be αx+βy+γz+3=0, then α+β+γ is equal to
Answer» Let the equation of the plane, that passes through the point $(1, 4, - 3)$ and contains the line of intersection of the planes $3 x - 2 y + 4 z - 7 = 0$ and $x + 5 y - 2 z + 9 = 0,$ be $α x + β y + γ z + 3 = 0,$ then $α + β + γ$ is equal to

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