Discussion
Kepler's Second Law of planetary motion states that orbital radius of a planet sweeps out :
Answer: C
Kepler's Second Law says the line joining a planet to the Sun sweeps out equal areas in equal intervals of time.
Because the orbit is an ellipse, the planet moves faster near perihelion, where the radius is short, and slower near aphelion, where it is long, so that the area swept per unit time stays constant. The law is a consequence of conservation of angular momentum.
'Equal area in equal orbits' and 'larger area in smaller orbits' talk about different orbits, but the law concerns one planet in its own orbit. 'Smaller area in larger time interval' contradicts it outright.
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