(C) The distance $d$ between two parallel lines $Ax + By + C_1 = 0$ and $Ax + By + C_2 = 0$ is given by the formula $d = \frac{|C_1 - C_2|}{\sqrt{A^2

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(C) The distance $d$ between two parallel lines $Ax + By + C_1 = 0$ and $Ax + By + C_2 = 0$ is given by the formula $d = \frac{|C_1 - C_2|}{\sqrt{A^2 + B^2}}$.Given the lines are $5x + 12y + 13 = 0$ and $5x + 12y - 9 = 0$.Here,$A = 5$,$B = 12$,$C_1 = 13$,and $C_2 = -9$.Substituting these values into the formula:$d = \frac{|13 - (-9)|}{\sqrt{5^2 + 12^2}}$$d = \frac{|13 + 9|}{\sqrt{25 + 144}}$$d = \frac{22}{\sqrt{169}}$$d = \frac{22}{13}$.

Class 11 Mathematics Straight Line Distance between two lines, Perpendicular distance of the line from a point, Position of point w.r.t. line

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Find the distance between the lines $5x + 12y + 13 = 0$ and $5x + 12y - 9 = 0$.

A
$11/13$
B
$22/17$
C
$22/13$
D
$13/22$

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Distance between two lines, Perpendicular distance of the line from a point, Position of point w.r.t. line

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Find the distance between the lines $5x + 12y + 13 = 0$ and $5x + 12y - 9 = 0$.

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