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Basic Properties of a Circle

Two chords AB...

Question

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.

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Similar questions

A B

A C

of a circle with centre

O

are on the opposite sides of

O A

Q. Fill In The Blanks

If two equals chords AB and AC of a circle with centre O are on the opposite sides of OA, then ∠OAB = ____________ .

State true or false

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

∠ O A B = ∠ O A C

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

.

A B

A C

of a circle subtends angles equal to

90^{o}

150^{o}

, respectively at the centre. Find

∠ B A C

A B

A C

lie on the opposite sides of the centre.

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