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Question

What is the angular difference in radians between the time where the hour hand and minutes hand meet at each hour? For eg. if it meets once at 12:00 at then whenever they both meet again. Also, does this angle change for every hour or is it constant?

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Solution

Angle between hour hand and minute hand at 1:05 is (5/2)degree now let hour hand and minute hand meet after x minute past so 6x=x/2 +5/2 i.e x= 5/11 minute so they meet one hour and 60/11 minute now angle will be (60/11).6 degree now convert it into radian

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