Question

the angle between the lines 2x+3y=5 and 3x-2y=7

Answer 1

Answer:

$\text{The angle between the given straight lines is}\;90^{\circ}$

Step-by-step explanation:

The angle between the lines ,2x+3y=5 and 3x-2y=7

Given lines are

2x+3y-5=0 and 3x-2y-7=0

$\text{Slope of 2x+3y-5=0 is }m_1=\frac{-2}{3}$

$\text{Slope of 3x-2y-7=0 is }m_2=\frac{-3}{-2}=\frac{3}{2}$

Now

$m_1{\times}m_2=\frac{-2}{3}{\times}\frac{3}{2}$

$\implies\bf\;m_1{\times}m_2=-1$

$\therefore\text{The given lines are perpendicular to each other}$

$\text{Hence angle between them is 90^{\circ} }$