[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
India is a c.Representative democracy.
Let's look at the options. Option a. is monarchy.India is not a monarchy because monarchy is a hereditary type of government which has a ruler controlling the government.
The next is plutarchy or more commonly known as plutocracy. This type of government is controlled by the rich people / community in the society. India is not one of them too.
3rd ⇨ representative democracy. Yes, this is correct. The government of India is directly / indirectly elected by the citizens of India, whether poor or rich. The elected leaders are the representatives of the citizens & make rules on behalf of them. In fact, India is known as the largest democracy in the world.
The 4th option is autocracy.Autocracy is a form of government where there is one supreme leader who reigns over the entire government / nation. No one can differ with his / her rules. India is not an autocracy.