Question

Does it take a longer, same, or shorter time to measure a parallactic shift from Pluto as compared to the Earth? Why?

Answer 1

It will take longer from Pluto than from Earth. In its irbit around the Sun, Pluto moves much more slowly than the Earth.

Explanation:

Pluto does cover a much larger range by being farther from the Sun than Earth, so you can in principle measure parallax for a lot more stars from Pluto. But traversing that range (by going 180 degrees in the orbit) to see the full parallax effect from Pluto takes over a hundred years.