Correct option is A
The correct answer is: (A) (A) is true, but (R) is false.
Explanation
Assertion (A) is true: Anti-cyclonic conditions (high-pressure systems) are indeed associated with high atmospheric pressure and low air temperatures.
Cold air is denser and sinks, which leads to high surface pressure and stable, clear weather conditions, common in North India during winter.
Reason (R) is false: Winter rainfall in North India is primarily caused by Western Disturbances, which are extra-tropical low-pressure systems (cyclonic conditions) that originate over the Mediterranean region and move eastward.
These weather systems are associated with an increase in cloud cover and precipitation, which is the opposite of the dry, clear weather associated with anti-cyclonic conditions mentioned in Assertion (A).