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Distance between the parallel lines given by one second-degree equation

The same question, asked 3 times: 9 May 2024 S1*, 20 Apr 2025 S1*, 21 Apr 2025 S2. Every wording below, oldest first.

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  1. Question 1

    9 May 2024 S1

    111
    If the distance between the parallel lines given by the equation x2+4xy+py2+3x+qy−4=0x^2+4xy+py^2+3x+qy-4=0 is λ\lambda, then λ2=\lambda^2=

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  2. Question 2

    20 Apr 2025 S1

    137
    The distance between the lines represented by the equation 4x2+4xy+y2−6x−3y−4=04x^{2}+ 4xy+y^{2}- 6x- 3y- 4 = 0 is

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  3. Question 3

    21 Apr 2025 S2

    121
    The distance between the lines represented by 16x2+9y2+48x−24xy−36y+35=016x^{2}+ 9y^{2}+ 48x- 24xy- 36y+ 35 = 0 is ____\_\_\_\_ units

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