Planar Graph :- A planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints. In other words, it can be drawn in such a way that no edges cross each other.
Here only G_{2 }is planar graph.
Hence,Option(D)G_{1} is not planar and G_{2} is planar.