If we consider the angle made between the hour hand and the minute hand of a clock, then at what time is a right angle formed?

The correct option is D

09:00

At 09:00, the hour hand is at 9 and minute hand is at 12. The angle between the hands is ${90}^{\circ },$ a right angle.

At 03:30, the hour hand is between 3 and 4, and the minute hand is at 6. The angle formed is acute.

At 05:45, the hour hand is between 5 and 6 and the minute hand is at 9. The angle formed is obtuse.

At 06:00, the hour hand is at 6 and the minute hand is at 12. The angle formed is ${180}^{\circ },$ a straight angle.