Question

What is Family of lines?

Answer

Family of lines is a set of those lines passing through the intersection of two given lines
i.e., α1x + b1y + c1 = 0 and α2x + b2y + c2 = 0 which is given by the equation. (α1x + b1y + c1) + λ (α2x + b2y + c2) = 0 and any line which is parallel to a given line αx + by + c = 0 can be represented by αx + by + k =0.

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