Question

Q. At what time between 6 and 7 do the two hands of a clock form $90°$ angle?

• A. $6:49\left(1/11\right)$
• B. $6:45$
• C. $6:18\left(2/11\right)$
• D. Both A and C

Answer 1

The correct option is D Both A and C

The angle of $90°$ will be formed two times between 6 and 7’o clock. Here, $\theta =90°$ and $h=6.$ Hence, the two timings can be found out as follows:

1. $\theta =30h–\left(11/2\right)mà90=30x6–\left(11/2\right)màm=90x2/11=180/11=18\left(2/11\right)$
2. $\theta =\left(11/2\right)m–30hà90=\left(11/2\right)m–30x6àm=270x2/11=540/11=49\left(1/11\right)$