Find the distance between the parallel lines
$3 x + 2 y = 7$ and $9 x + 6 y = 5.$

Open in App

Solution

Rewriting the line equations :

$(1) 9 x + 6 y + 18 = 0$
$(2) 9 x + 6 y - 7 = 0$

Distance between the parallel lines $= \frac{| 18 - (- 7) |}{\sqrt{9^{2} + 6^{2}}} = \frac{25}{\sqrt{117}}$

Suggest Corrections

Similar questions

Find the equation of the line mid - way between the parallel lines $9 x + 6 y - 7 = 0$ and $3 x + 2 y + 6 = 0$ .

Find equation of the line which is equidistant from parallel lines $9 x + 6 y - 7 = 0$ and $3 x + 2 y + 6 = 0$

Find the distance between the parallel lines $3 x - 4 y + 7 = 0$ and $3 x - 4 y + 5 = 0$ .

9 x^{2} - 6 x y + y^{2} + 18 x - 6 y + 8 = 0

9 x^{2} - 6 x y + y^{2} + 18 x - 6 y + 8 = 0

\frac{m}{\sqrt{n}}

m + n

Join BYJU'S Learning Program