Question

State true or false -
Two distinct points in a plane determine a straight line .
A. True
B. False

Answer 1

- Hint: We need to proceed by constructing a diagram of two points and observing the number of lines that can pass through both of them get to the desired answer of the given question .

Complete step-by-step solution -

Let A and B be two distinct points. We can observe that there can be many straight lines passing through the point ‘A’.
And there are many lines passing through the point ‘B’.
But there is one and only one straight line which is passing through the point ‘A’ as well as point ‘B’.
Therefore, two distinct points always determine a unique straight line.
True statement .

Note: It is important to understand that the line passing through a point can be passed through any point in space . But it is important to note that if it needs to be passed with another point in space , there would be a single straight line passing through them .