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If Figure, A O C is a diameter of the ...

If Figure, `A O C` is a diameter of the circle and are `A X B=1/2` arc `B Y Cdot` Find `/_B O C`

Text Solution

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As `arc AXB=1/2 arc BYC`
`/_AOB=1/2 /_B0C`
`/_AOB+/_BOC=180^0`
`1/2 /_B0C+/_BOC=180^0`
`/_BOC=2/3xx180^0=120^0`
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Knowledge Check

  • In the given figure (not to scale ) , O is the centre of the circle . A ,B,C and D are conyclic and AB =CD . If angleMON=120^(@) , then find angleOPN .

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