Given three points, is it possible to construct a circle with all three on its circumference?

Only if they are non-collinear.

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Only if they are in the same plane.

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Only if they are concentric.

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It is not possible.

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Solution

The correct option is A
Only if they are non-collinear.

It is possible to construct a circle with all three on its circumference only if they are non-collinear.

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Similar questions

Through any given set of three distinct points A, B, C it is possible to draw at most ___circle(s).

O

A, P, B

P

A B

∠ A O B = θ

\frac{a r e a (△ A O B)}{a r e a (△ A P B)} = \sqrt{5} + 2

∠ A O B

2 θ

\frac{a r e a (△ A O B)}{a r e a (△ A P B)}

A, B, C

O

∠ O A C = 53^{\circ}

∠ C B O = 32^{\circ}

∠ A O B =

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