Question

13.
The centre of a clock is taken as origin. At 07:30 pm, the equation of line along minute
is x = 0. Therefore, at this instant the equation of line along the hour hand will be:
ax-y=0 b)x + y =
c) y = √2x
dya​

Answer 1

The equation of line along the hour hand will be a)x-y=0.

1. Since the centre of the clock is origin, we consider it to be the point (0,0.
2. Minute hand's equation is x=0, which means it is the y axis.
3. The time is 7.30 pm, hence the hour hand will be right between 7 and 8. If 12 hours equate to 360 degrees, 1.5 hours will be equal to 45 degrees.
4. Therefore, the equation of the hour hand is that of a line that is inclined to the y axis by 45 degrees.
5. That line is y=x.

Hence, the correct answer is a)x-y=0.