Check whether the following statement is true or false:

If AB and AC are two chords of a circle with centre O, then we can conclude that ∠AOB=∠AOC.

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Solution

It is given that AB and AC are two chords of a circle with centre O.

Case 1:

If AB and AC are not equal, the angles subtended by them at the centre are not equal.

Case 2

If AB and AC are equal, the angles subtended by them at the centre are equal.

Thus, we can’t conclude that the angles subtended by them at the centre will be equal>
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Similar questions

Q. Two chords AB and AC of a circle with centre O are on the opposite sides of OA. If ∠AOB = ∠AOC, then prove that AB = AC and ∠OAB = ∠OAC.

Q. Two chords AB and AC of a circle with centre O are on the opposite sides of OA. If angle AOB = angle AOC , then prove that AB=AC and angle OAB = angle OAC.

Q. Question 2
Write True or False and justify your answer :

Two chords AB and AC of a circle with the centre O are on the opposite sides of OA. Then

∠ O A B = ∠ O A C

Q. If 𝐴𝐵 and 𝐴𝐶 are two chords of a circle with centre 𝑂, then can we conclude that ∠𝐴𝑂𝐵 = ∠𝐴𝑂𝐶?

Two chords $A B$ and $A C$ of a circle with centre $O$ are on the opposite sides of $O A$ . Then $∠ O A B = ∠ O A C .$ . Write True or False and justify your answer

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Check whether the following statement is true or false: If AB and AC are two chords of a circle with centre O, then we can conclude that ∠AOB=∠AOC.

Check whether the following statement is true or false:

If AB and AC are two chords of a circle with centre O, then we can conclude that ∠AOB=∠AOC.