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

It is not possible.

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Only if they are concentric.

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Only if they are non-collinear.

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Only if they are in the same plane.

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Solution

The correct option is C
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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Q. 27. A circle contain three points on its circumference they form a triangle. What is the probability that the tringle contains the centre.

Q. In a circle with centre

O

, suppose

A, P, B

are three points on its circumference such that

P

is the mid-point of minor arc

A B

. Suppose when

∠ A O B = θ

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

,
If

∠ A O B

is doubled to

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

such that

∠ O A C = 53^{\circ}

and

∠ C B O = 32^{\circ}

, then

∠ A O B =

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

The correct option is C 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.

The correct option is C
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.