Let D be the region between the circles of radius 6 and radius 8 centered at the

Given:let D be the region between the circles of radius 6 and 8 centered at the origin that lies in the third quadrant express D in polar coordinates.
Here the region D is between the circles with radius r=6,r=8 centered at the origin
that is ${\displaystyle 6\le r\le 8}$ and that lies in quadrant 3
So,
${\displaystyle \pi \le \theta \le \frac{3\pi }{2}}$
Therefore,
${\displaystyle D=\{(r,\therefore )\mid 6\le r\le 8,\pi \le \therefore \le 3\pi 2\}}$
Therefore the 2 nd option is the correct one