What is the angle between the minute hand and the hour hand of a clock at 9 hours 45 minutes ?
9 घंटे 45 मिनट पर घड़ी की मिनट की सुई और घंटे की सूई के बीच का कोण क्या है?

Options

A. `45^(@)`
B. `22""1^(@)/2`
C. `45""1^(@)/2`
D. `22^(@)`

Answer

B

Explanation

From the formula, `theta=30h-11/2m`
`" "[because30h gt 11/2m]`
where `theta=" angle, "`m = minutes, `" "` h = hours

According to the question,
Here, m = 45 minutes, h = 9 hours.
So, `theta=30 times 9-11/2 times 45=270-495/2`
`" "=(540-495)/2=45/2=22""1^(@)/2`
So, the angle between the two hands of a clock at 9 hours 45 minutes `=22""1^(@)/2`