{ 124. Lines }(1+λ)x+(4-λ)y+(2+λ)=0 and }(4-λ)x-}{(1+λ)y+(6-3λ)=0 are concurrent at points }A and }B}{ respectively and intersect at }C then locus of centroid of }}{Δ ABC is }(λ is parameter)

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The number of real values of $λ$ for which the lines $x - 2 y + 3 = 0, λ x + 3 y + 1 = 0$ and $4 x - λ y + 2 = 0$ are concurrent is

For what value of $λ$ the equation of the line $λ$ x + (1+ $λ$ )y + (2+ $λ$ )x + $λ$ y +3=0 represents a line parallel to x-axis is

λ

x + y - 3 = 0, (1 + λ) x + (2 + λ) y - 8 = 0

x - (1 + λ) y + (2 + λ) = 0

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\to A M = λ x, \to B N = λ y, \to C P = λ z

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