The correct answer is D. 577 m.
The absolute minimum radius of a curve for safe operation for a speed of 110 kmph is 577 m. This is calculated using the formula:
$r = \frac{v^2}{10.87}$
where $r$ is the radius of the curve in meters, $v$ is the speed in kilometers per hour, and 10.87 is a constant that takes into account the coefficient of friction between the tires and the road.
For a speed of 110 kmph, this gives a radius of 577 m. If the radius of the curve is less than this, the car will not be able to make the turn safely and will skid off the road.
Option A is incorrect because it is the radius of a curve for a speed of 100 kmph. Option B is incorrect because it is the radius of a curve for a speed of 120 kmph. Option C is incorrect because it is the radius of a curve for a speed of 130 kmph.