If I have a diagram of Kepler's laws of planetary motion and it shows change in t1 larger than change in t2 and A1 larger than A2 and asks the question: which of the following is correct?

1.A3 = A3
2.change in t3 > change t3
3.if change t3 = change in t2, then the orbit is circular
4. if change in t1 = change in t2, then A1 = A2

I'm thinking it would be number 3 but I'm really confused by A3 and t3 which isn't shown at all-
Can someone shed some light on this-where is A3 or t3 suppose to be?

Thank you

In this case, since the diagram does not show A3 or t3, it is not possible to determine their values from the given information. Therefore, we cannot directly conclude whether option 1 or option 2 is correct.

Option 3 states, "if change t3 = change in t2, then the orbit is circular." This statement does not provide any information about A3, so it is irrelevant to the given diagram.

Option 4 states, "if change in t1 = change in t2, then A1 = A2." This statement directly relates to the given information in the diagram. According to the diagram, change in t1 is larger than change in t2, and if they were equal, then A1 would be equal to A2. Therefore, option 4 is correct based on the information provided.

To summarize, based on the given diagram, option 4 is the correct statement. However, without information about A3 or t3 in the diagram, we cannot determine the accuracy of option 1 or option 2. Additionally, option 3 is irrelevant to the given diagram.