Solution

The correct answer is option 1.

Explanation: 

Figure A can be redraw as:                                                                               

      Figure B can be redraw as :

 But, Figure C cant not be  redraw in such a way that no edge intersect each other.

 Therefore ,Figure A and B both are planar graph.

Important Points A graph is said to be planar if it can be drawn in such a way that no edges intersect each other, only intersect at the end points.