Geet holding the handle bar indicates that Maan has given her the right to steer their married life. For a man who has a king size ego, this is a huge step. Handle bars not only help in steering the bike but also provide a mount point for the brakes. So if, while cruising along, brakes have to be applied at any point to protect their marriage from speeding off course, it would be Geet who will be taking that decision since the handle bar is held by her. From the manner in which Geet is holding the handle bar (with hands in a criss-cross position), I infer that she will have her own innovative way of steering their lives.
Now coming to Maan, although Geet is steering the cycle, Maan is the one who is peddling. This shows that Maan will be the driving force in their marriage. He will willingly take on all the hardships that come with it. While his legs are ensuring that their cycle is in motion, his hands are holding his wife. This again reiterates the earlier point I made that should she falter and lose her balance, as she is precariously seated on the cycle's middle bar, he is there to support her.
There can be another interpretation for the hand holding. It is a well known fact that the right hemisphere of the brain controls the left side and the left hemisphere of the brain controls the right side. The right brain is the more creative and emotional hemisphere of the brain and the left, the more analytical and judgemental hemisphere. Between the two of them, Geet is the more creative and emotional person and Maan is the more analytical and judgemental person. In other words, Geet's right brain is more developed than Maan's and Maan's left brain in more developed than Geet's. By placing one hand on her left side, Maan is indicating that he is entrusting his creative and emotional well being in her care. Since his analytical and judgemental abilities are better than Geet's, he crosses his other hand over her right hand before holding her left hand, to indicate taking control of her right side, which is weaker for her.
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