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What are the two types of variable stars?

a) Pulsating Variable Stars and Cepheid Variable Stars
b) Binary Variable Stars and Supernova Variable Stars
c) Red Giant Variable Stars and White Dwarf Variable Stars
d) Nova Variable Stars and Quasar Variable Stars

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Final answer:

The two types of variable stars are pulsating variable stars and binary variable stars. Pulsating variable stars change their diameter and luminosity, allowing us to measure their distances accurately. Binary variable stars are systems of two stars that can change in brightness due to interactions.

Step-by-step explanation:

There are two types of variable stars: pulsating variable stars and binary variable stars. Pulsating variable stars, such as cepheid and RR Lyrae stars, change their diameter periodically, expanding and contracting. The luminosity of these stars also changes, which allows us to accurately measure their distances. On the other hand, binary variable stars are systems consisting of two stars that orbit each other and can go through changes in brightness due to interactions between the stars.

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