Question

Given, a plane E and a line L contained in E, so that two half-planes H${}_1$ and H${}_2$ are formed, then line L lies:

• A. in H${}_1$ only
• B. in H${}_2$ only
• C. in both H${}_1$ and H${}_2$
• D. neither in H${}_1$ nor in H${}_2$

Answer 1

The correct option is D neither in H${}_1$ nor in H${}_2$

As per given information,

Plane E is divided into $2halfplanes$ $H1andH2$ with the help of $LineL$ which is contained in $PlaneE$

∴ $LineL$ neither lies in $H1$ nor in $H2$