Answer:
Star A is closer than Star B
Explanation:
As we know that in parallax method of distance measurement the angle subtended by the star when it covers a distance of one Parsec arc length, it is known as parallax angle
Here we can say
[tex]angle = \frac{1 Parsec}{distance}[/tex]
so we have
[tex]distance = \frac{1 Parsec}{angle}[/tex]
so here we have
angle subtended by Star A = 1 arc sec
angle subtended by star B = 0.75 arc sec
now we have
distance for star A is given as
[tex]d_a = \frac{1 Parsec}{1} = 1 Parsec[/tex]
distance of star B is given as
[tex]d_b = \frac{1 Parsec}{0.75} = 1.33 Parsec[/tex]
So star A is closer than star B