Answer
$\oint_{C_1} F \cdot dr$ is negative and $\oint_{C_2} F \cdot dr$ is positive.
Work Step by Step
From the given graph, we conclude that the direction of $F$ is opposite to the direction of $C_1$. This means that $\oint_{C_1} F \cdot dr$ is negative.
Also, we can notice that the direction of $F$ is exactly same as the direction of $C_2$. This means that $\oint_{C_2} F \cdot dr$ is positive.
Therefore, our answers are: $\oint_{C_1} F \cdot dr$ is negative and $\oint_{C_2} F \cdot dr$ is positive.
