(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

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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: $15x + 8y - 34 = 0$ $15x + 8y + 31 = 0$ Here,$A = 15$,$B = 8$,$C_1 = -34$,and $C_2 = 31$. Substituting these values into the formula: $d = \frac{|-34 - 31|}{\sqrt{15^2 + 8^2}}$ $d = \frac{|-65|}{\sqrt{225 + 64}}$ $d = \frac{65}{\sqrt{289}}$ $d = \frac{65}{17}$ units.

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

Easy

Find the distance between the parallel lines $15x + 8y - 34 = 0$ and $15x + 8y + 31 = 0$.

A
$5$
B
$3$
C
$65/17$
D
$4$

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Straight Lines

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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 parallel lines $15x + 8y - 34 = 0$ and $15x + 8y + 31 = 0$.

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