Q. 205.0( 2 Votes )
If A, B, C are three points on a circle with centre O such that ∠AOB=90° and ∠BOC=120°, then ∠ABC=
A. 60°
B. 75°
C. 90°
D. 135°
Answer :
∠BOC = 120°
∠AOC = ∠AOB + ∠BOC
= 90o + 120o
= 210°
Now,
∠ABC = 
* (Reflex ∠AOC)
= 
(360o – 210o)
= 75°
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PREVIOUSPQRS is a cyclic quadrilateral such that PR is a diameter of the circle. If ∠QPR=67° and ∠SPR=72°, then ∠QRS=NEXTAB and CD are two parallel chords of a circle with centre O such that AB=6 cm and CD= 12 cm. The chords are on the same side of the centre and the distance between them in 3 cm. The radius of the circle is
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