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Circle through 3 Points

Given three p...

Question

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

A

Only if they are non-collinear.

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B

Only if they are in the same plane.

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C

Only if they are concentric.

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D

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

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

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

Q. The smallest possible radius of a circle such that it is possible to place 6 points on the circumference with an integer distance between any two is x/π. The value of 'x' is ___ .

Q. In a circle with centre

O

A, P, B

are three points on its circumference such that

P

is the mid-point of minor arc

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

, then the ratio

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

A, B, C

are three points on the circumference of a circle with centre

O

∠ O A C = 53^{\circ}

∠ C B O = 32^{\circ}

∠ A O B =

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