Chhattisgarh Board Solutions for Chapter: Parallel Lines, Exercise 4: EXERCISE - 3.1

In the given figure $l\parallel m, t\perp m \text{and} t\perp n$ then is $l\parallel n$? Why?

In the given figure $l\parallel m, t\perp m \text{and} t\perp n$ then is $t\perp l$? Why?

In the given figure $\mathrm{a}\parallel \mathrm{b}\parallel \mathrm{c} \text{and} l\&m$ are two transversals. If $\mathrm{PQ}=\mathrm{QR},$ is $\mathrm{ON}=\mathrm{NS}$? Why?

In the given figure $AB\parallel DC,EF\parallel AB \text{and }E$ is the midpoint for the line segment $AD$, then is $AB\parallel EF\parallel DC$? why?

In the given figure $AB\parallel DC,EF\parallel AB \text{and }E$ is the midpoint for the line segment $AD$, then is $F$, the midpoint for the line segment $CB$? Why? 

In the given figure $l\parallel m\parallel n$, will the ratio of the intercepts be equal?

If line segments $DA,CB \text{and} OM$ perpendicular on segment $AB$, where $O$ is the intersecting points for line segments $AC$ and $DB$, If $OA=2.4 cm \text{and} OC=3.6 cm,$ then find out $\frac{AM}{BM}$.

If line segments $DA,CB \text{and} OM$ perpendicular on segment $AB$, where $O$ is the intersecting points for line segments $AC$ and $DB$, If $OA=2.4 cm \text{and} OC=3.6 cm,$ $\frac{AM}{BM}=\frac{2}{3}$, If $BO=3 cm$, the value of $DO=k cm$. Find value of $k$.