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What is the major product when N,N-dimethylaniline, $\ce{C6H5N(CH3)2}$, reacts with concentrated nitric acid (conc. $\ce{HNO3}$) in presence of concentrated sulphuric acid (conc. $\ce{H2SO4}$)?

Here, nitrogen gets protonated. So, it becomes deactivating, but it can't be stabilised by resonance because it would exceed valency of nitrogen. So, is meta or para the major product?

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