Question

Find the acute angle between the lines 3x-y=4 ,2x+y=3​

Answer 1

Step-by-step explanation:

$\huge\boxed{\fcolorbox{cyan}{grey}{Solution:-}} \\ 3x - y = 4 \\ y = 3x - 4 \\ m1 = 3 \\ \\ 2x + y = 3 \\ y = - 2x + 3 \\ m2 = - 2 \\ \\ \tan(a) = | \frac{m2 - m1}{1 + m1m2} | \\ \tan(a) = | \frac{ - 5}{ - 5} | \\ \tan(a) = 1 \\ (a) = 45° = \frac{\pi}{4} \\ \\ Acute \: angle \: between \: lines \: is \: 45° \\ \\ If \: this \: helps \: don't \: forget \: to \: thank \: the \: answer...$