Collinear Points

Mark three non-collinear points $A, B$ and $C$ in your notebook. Draw lines through these points taking two at a time. Name these lines. How many such different lines can be drawn?

How many lines may pass through one given point, two given points, any three collinear points?

Give three examples from your environment of points.

Mark four points $A, B, C$ and $D$ in your notebook such that no three of them are collinear. Draw all the lines which join them in pairs as shown in Figure.

How many such lines can be drawn?

Coplanar points are the points that are in the same plane. Can $3$ points be non-coplanar?

Coplanar points are the points that are in the same plane.Thus, Can $150$ points be coplanar? Write Yes$/$No.

Is it ever possible for exactly one line to pass through three points? (Yes / No)

Four points are collinear if any three of them lie on the same line.

If $\mathrm{A}, \mathrm{B}, \mathrm{C}$ and $\mathrm{D}$ are collinear points and $\mathrm{D}, \mathrm{P}$ and $Q$ are also collinear, then points $\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}, \mathrm{P}$ and $Q$ are always collinear.

Point has a size because we can see it as a thick dot on paper.

Mark four points $A, B, C$ and $D$ in your notebook such that no three of them are collinear. Draw all the lines which join them in pairs as shown in figure.

Name the lines which are concurrent at $A$.

From Figure, write collinear points.

“Note: This question given in the book seems to have errors and the modified question should be as given below.”

From Figure, write collinear points.

Using a ruler, check whether the following points given in figure are collinear or not:

$B, C$ and $E$

Using a ruler, check whether the following points given in figure are collinear or not:

$A, B$ and $E$

Using a ruler, check whether the following points given in figure are collinear or not:

$A, B$ and $C$

Using a ruler, check whether the following points given in figure are collinear or not:

$D, A$ and $C$

Mark three points in your notebook and name them.