Question

If A, B and C are non-collinear points then $AB\cap AC$ is _______________.

• A. $\varphi$
• B. $\left\{0\right\}$
• C. $\left\{A\right\}$
• D. $\{A,B,C\}$

Answer 1

The correct option is C $\left\{A\right\}$

Since A, B and C are non-collinear points, then A is the point of intersection of the straight lines AB and AC.
∴AB∩AC={A}