Question

If $\theta$ is an acute angle between the lines y=2x+3, y=x+1 then the value of tan$\theta$ =

• A. 2/3
• B. 1/3
• C. 3/4
• D. 1/2

Answer 1

The correct option is B

1/3

Acute angle between the lines y = 2x + 3 , y = x+1 is given by tan $\theta$ = | $\frac{M_1-M_2}{1+M_1{M}_2}$ | Here $M_1=2M_2=1$

$\therefore$ tan $\theta$ = | $\frac{1}{3}$ | $\Rightarrow$ tan $\theta$ = $\frac{1}{3}$