Question

How many circles can be drawn through three non-collinear points?

• A. only on
• B. two
• C. three
• D. infinite

Answer 1

Answer: (A)

only on

$\Rightarrow$ $Onlyone$ circle can be drawn through three non-col-linear points.

$\Rightarrow$ In figure, P, Q, R are three non- co-linear points.

$\Rightarrow$ We have join these points by lines. Then, drawn perpendicular bisector on PQ and QR which join at point O.

$\Rightarrow$ Taking O as a center and radius OP we have drawn a circle.