Question

3) How many lines are determined by three distinst points​

Answer 1

Answer

Correct option is

B

three

If the given points in the plane are co-llinear then only one possibility of 1 line can be drawn.

If the given points in the plane are not co-llinear, we can determine the lines from the below given steps,

To draw a line, we need atleast two points.

So,Choosing two points from the given Three points:  

3

C  

2

​

=  

2!×1!

3!

​

=3 (The 3 in the power represents the given three points and the 2 in the power represents the chosen two points)

∴, the number of lines that could be drawn =  

3

C  

2

​

=  

2!×1!

3!

​

=3

Answer 2

$\huge\sf \red{α}\pink{η}\orange{š}\purple{ᥕ}\blue{ᥱ}\green{ɾ}$

$\pink \bigstar$ Three lines are determined by three distinct points.