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A circle with its centre at O has two chords AB and BC such that point

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A circle with its centre at O has two chords AB and BC such that point  [#permalink]

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New post 25 Jun 2018, 10:30
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Question Stats:

54% (01:47) correct 46% (01:53) wrong based on 54 sessions

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A circle with its centre at O has two chords AB and BC such that points A, B and C lie on the circumference of the circle. Are the chords AB and BC equal?

(1) Angle ABC is 90 degrees.

(2) Angle OAB is 50 degrees.
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A circle with its centre at O has two chords AB and BC such that point  [#permalink]

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New post 25 Jun 2018, 10:45
amanvermagmat wrote:
A circle with its centre at O has two chords AB and BC such that points A, B and C lie on the circumference of the circle. Are the chords AB and BC equal?

(1) Angle ABC is 90 degrees.

(2) Angle OAB is 50 degrees.



Statement 1 is insufficient.
Statement 2 Insufficient.

combining statement 1 and 2 is sufficient coz statement 1 tells us that the Line AC will be diameter and statement 2 tells us that angle a is 50 degree which bring us to the conclusion that the line ab and cb is not equal

KUDOS IF THIS WAS HELPFUL
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Re: A circle with its centre at O has two chords AB and BC such that point  [#permalink]

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New post 29 Jun 2018, 06:51
ReadyPlayerOne wrote:
amanvermagmat wrote:
A circle with its centre at O has two chords AB and BC such that points A, B and C lie on the circumference of the circle. Are the chords AB and BC equal?

(1) Angle ABC is 90 degrees.

(2) Angle OAB is 50 degrees.



Statement 1 is insufficient.
Statement 2 Insufficient.

combining statement 1 and 2 is sufficient coz statement 1 tells us that the Line AC will be diameter and statement 2 tells us that angle a is 50 degree which bring us to the conclusion that the line ab and cb is not equal

KUDOS IF THIS WAS HELPFUL

Can you please elaborate a bit more?

If we have a right angle on the line of the circle we know that AC is the diameter?
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Re: A circle with its centre at O has two chords AB and BC such that point  [#permalink]

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New post 30 Jun 2018, 06:07
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Masterscorp wrote:
ReadyPlayerOne wrote:
amanvermagmat wrote:
A circle with its centre at O has two chords AB and BC such that points A, B and C lie on the circumference of the circle. Are the chords AB and BC equal?

(1) Angle ABC is 90 degrees.

(2) Angle OAB is 50 degrees.



Statement 1 is insufficient.
Statement 2 Insufficient.

combining statement 1 and 2 is sufficient coz statement 1 tells us that the Line AC will be diameter and statement 2 tells us that angle a is 50 degree which bring us to the conclusion that the line ab and cb is not equal

KUDOS IF THIS WAS HELPFUL

Can you please elaborate a bit more?

If we have a right angle on the line of the circle we know that AC is the diameter?


Hi,

Its a property of circle that the triangle made from the diameter (with AC as diameter) then angle ABC (with point B on the circle) will be 90 degrees (vice versa is also true).

If I made the point clear then Kindly HIT KUDOS.
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Re: A circle with its centre at O has two chords AB and BC such that point &nbs [#permalink] 30 Jun 2018, 06:07
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A circle with its centre at O has two chords AB and BC such that point

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