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Formal Language & Automata TheoryIf L1 and L2 are context free languages, L1 - L2 is ___________ context-free. (i) always (ii) sometimes (iii) never (iv) None of these20222mFORMAL LANGUAGE & AUTOMATA THEORYIf L_1 and L_2 are CFLs, L_1 - L_2 is ____ context-free. (i) always (ii) sometimes (iii) never (iv) None of the above20212mFormal Language & Automata TheorySuppose L is context free and R is regular, justify your answer with the help of example: (i) Is L-R necessarily context free? (ii) Is R-L necessarily context free?202114mFORMAL LANGUAGE & AUTOMATA THEORYWhich one of the following statements is true? (i) The intersection of two CFLs is context-free (ii) Every CFL can be accepted by a DPDA (iii) The union of two CFLs is context-free (iv) The complement of a CFL is context-free20232m