Question

Match the given angles with the corresponding slopes.(Angles are with respect to positive direction of x-axis)

• A. 0.0
• B. $\sqrt{3}$
• C. $\frac{1}{\sqrt{3}}$
• D. Not defined

Answer 1

If $\theta$ be the angle at which a straight line is inclined to the positive direction of x-axis, the slope of the line is defined by $m=tan\theta$ where $0^o\le \theta <{180}^o\theta \ne {90}^o$
1. When $\theta =0^o$
Slope =$tan\theta =tan{0}^o=0$

2. When $\theta ={90}^o$
at $\theta$ = ${90}^o$ slope of the line is NOT defined

3. When $\theta ={60}^o$
Slope of line = $tan{60}^o=\sqrt{3}$

4. When $\theta ={30}^o$
Slope of line =$tan{30}^o=\frac{1}{\sqrt{3}}$