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(B) The given lines are of the form $ax + by + c_1 = 0$ and $ax + by + c_2 = 0$ (parallel pairs).Pair $1$: $3x - 4y + 1 = 0$ and $3x - 4y + 3 = 0$.Pai

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$2/7$

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(B) The given lines are of the form $ax + by + c_1 = 0$ and $ax + by + c_2 = 0$ (parallel pairs).Pair $1$: $3x - 4y + 1 = 0$ and $3x - 4y + 3 = 0$.Pair $2$: $4x - 3y - 1 = 0$ and $4x - 3y - 2 = 0$.The area of a parallelogram formed by lines $a_1x + b_1y + c_1 = 0, a_1x + b_1y + c_2 = 0, a_2x + b_2y + d_1 = 0,$ and $a_2x + b_2y + d_2 = 0$ is given by $\frac{|(c_1 - c_2)(d_1 - d_2)|}{|a_1b_2 - a_2b_1|}$.Here,$a_1 = 3, b_1 = -4, c_1 = 1, c_2 = 3$ and $a_2 = 4, b_2 = -3, d_1 = -1, d_2 = -2$.Area $= \frac{|(1 - 3)(-1 - (-2))|}{|(3)(-3) - (4)(-4)|} = \frac{|(-2)(1)|}{|-9 + 16|} = \frac{2}{7}$.

Find the area of the quadrilateral formed by the lines $4y - 3x = 1, 4y - 3x - 3 = 0, 3y - 4x + 1 = 0,$ and $3y - 4x + 2 = 0$.

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