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Lines (x-1)/2 = (y+1)/k = z/2 and (x+1)/5 = (y+1)/2 = z/k are coplanar: equation of the plane containing them

The same question, asked 2 times: 22 Apr 2025 S1, 15 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    22 Apr 2025 S1

    143
    If the lines x−12=y+1k=z2\frac{x- 1}{2}=\frac{y+ 1}{k}=\frac{z}{2} and x+15=y+12=zk\frac{x+ 1}{5}=\frac{y+ 1}{2}=\frac{z}{k} are coplanar, then the equation of the plane containing these lines are

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  2. Question 2

    15 Apr 2026 S1

    95
    The equation of the plane containing the lines x−12=y+1λ=z2\dfrac{x - 1}{2} = \dfrac{y + 1}{\lambda} = \dfrac{z}{2} and x+15=y+12=zλ\dfrac{x + 1}{5} = \dfrac{y + 1}{2} = \dfrac{z}{\lambda} is

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