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Distance between two parallel lines

This type of question, asked 5 times: 3 May 2023 S1, 4 May 2023 S1, 15 May 2023 S1, 10 May 2024 S2, 18 Apr 2026 S1. All 5 questions below, oldest first.

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  1. Question 1

    3 May 2023 S1

    113
    The line L given by x5+yb=1\frac{x}{5}+\frac{y}{b}=1 passes through the point (13,32)(13,32). The line K is parallel to L and has the equation xc+y3=1\frac{x}{c}+\frac{y}{3}=1. Then the distance between L and K is

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  2. Question 2

    4 May 2023 S1

    125
    The line L given by x5+yb=1\frac{x}{5}+\frac{y}{b}=1 passes through the point (13,32)(13,32). The line K is parallel to line L and has the equation xc+y3=1\frac{x}{c}+\frac{y}{3}=1. Then the distance between L and K is ___ units.

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  3. Question 3

    15 May 2023 S1

    135
    If two sides of a square are 4x+3y−20=04x+3y-20=0 and 4x+3y+15=04x+3y+15=0, then the area of the square is

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  4. Question 4

    10 May 2024 S2

    102
    Two sides of a square are along the lines 5x−12y+39=05x-12y+39=0 and 5x−12y+78=05x-12y+78=0, then area of the square is

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  5. Question 5

    18 Apr 2026 S1

    54
    The line L1L_1 given by xp+y2=1\dfrac{x}{p} + \dfrac{y}{2} = 1 passes through the point (5,0)(5, 0). The line L2L_2 given by x10+yq=1\dfrac{x}{10} + \dfrac{y}{q} = 1 is parallel to L1L_1. Then the distance between the lines L1L_1 and L2L_2 is...

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