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In the given circuit, there are two resistors connected in parallel between points A and B. This means that the current coming from point A divides into two paths, each passing through one of the resistors, and then combining again at point B.
Option 1: This option suggests that the value of the resistance between points A and B is 5. As there are two resistors in parallel, the total resistance between A and B cannot be equal to the value of just one of the resistors. Thus, this option is incorrect.
Option 2: This option states that the resistance between points A and B is 5. As there are two resistors in parallel, we can find the total resistance by using the formula for resistors in parallel, which is 1/Rtotal = 1/R1 + 1/R2. If we substitute R1 = 2 and R2 = 5 into the formula, we get 1/Rtotal = 1/2 + 1/5. By simplifying this equation, we find that Rtotal = 10/7. Therefore, option 2 is correct.
Option 3: This option suggests that the resistance between points A and B is 2. Since there are two resistors connected