It is always possible to draw a circle passing through ______ non-collinear points in a plane.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 3.
Collinear points lie on a straight line, so a circle cannot pass through them.
For three non-collinear points, they uniquely determine a circle because there is exactly one circumcircle for any triangle formed by those points. The perpendicular bisectors of the sides of the triangle intersect at a single point, called the circumcenter, which is the center of the circle.
Therefore, it is always possible to draw a circle passing through 3 non-collinear points in a plane.