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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 angle AOB = angle AOC , then prove that AB=AC and angle OAB = angle OAC.

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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.

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 = ____________ .

Q. Question 9
Two chords AB and AC of a circle subtends angles equal to

90^{\circ} a n d 150^{\circ}

respectively at the centre. Find

∠ B A C

, if AB and AC lie on the opposite sides of the centre.

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