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Coordinate Geometryhard
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Consider the family of lines (1+2λ)x+(1−λ)y+(2−3λ)=0(1 + 2\lambda)x + (1 - \lambda)y + (2 - 3\lambda) = 0(1+2λ)x+(1−λ)y+(2−3λ)=0, where λ\lambdaλ is a parameter. Find the point through which all these lines pass.