Consider two coherent point sources $\mathrm{(}{\mathrm{S}}_{\mathrm{1}}\mathrm{ }\mathrm{and}\mathrm{ }{\mathrm{S}}_{\mathrm{2}}\mathrm{)}$ separated by a small distance along a vertical line and two screens $P_1\text{\hspace{0.17em}and\hspace{0.17em}}{P}_2$  placed as shown in Figure. Which one of the choices represents the shapes of the interference fringes at the central regions on the screens?

For any point on screen  $P_1$, the diagram is as shown below.

We can see for point $P$ and  $P\text{'}$ the path difference would be same and hence they will have same intensity of light. On the  $x-y$ plane, circumference of the circle (radius $y$ ) will also have same intensity ( $\because$same path difference). Hence the shape will be circular.
For screen  $P_2$,we will get hyperbola( from the knowledge of YDSE).
Therefore, the correct answer is (A).