Is it true or false when the blood pressure increases firing rate of baroreceptors increases?

True.

The baroreceptors are stretch receptors that are located in the walls of the carotid sinus and aortic arch. They sense changes in blood pressure and send signals to the brain. When blood pressure increases, the firing rate of baroreceptors increases. This causes the brain to decrease heart rate and blood vessel tone, which in turn lowers blood pressure.