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Line (x-3)/2 = (y+2)/1 = (z+4)/3 lies in the plane lx + my - z = 9: find l^2 + m^2

The same question, asked 2 times: 2 May 2023 S1*, 10 May 2023 S1. Every wording below, oldest first.

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  1. Question 1

    2 May 2023 S1

    144
    If the line x−32=y+2−1=z+43\dfrac{x-3}{2} = \dfrac{y+2}{-1} = \dfrac{z+4}{3} lies in the plane lx+my−z=9lx + my - z = 9, then l2+m2l^2 + m^2 is

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  2. Question 2

    10 May 2023 S1

    130
    If the line x−32=y+21=z+43\frac{x-3}{2}=\frac{y+2}{1}=\frac{z+4}{3} lies in the plane lx+my−z=9lx+my-z=9, then l2+m2l^2+m^2 is equal to

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