52:I[19230,["62428","static/chunks/62428-c81274bc69adac0b.js?dpl=fab2742d893394d20a6998f3fbd4d86bdaecf412-r37538371307a1","26356","static/chunks/26356-1127856d0e259af0.js?dpl=fab2742d893394d20a6998f3fbd4d86bdaecf412-r37538371307a1","52493","static/chunks/52493-6a150f2b33b1f82d.js?dpl=fab2742d893394d20a6998f3fbd4d86bdaecf412-r37538371307a1","45863","static/chunks/45863-57daa612feb06956.js?dpl=fab2742d893394d20a6998f3fbd4d86bdaecf412-r37538371307a1","7623","static/chunks/7623-b516c1b57ae009b6.js?dpl=fab2742d893394d20a6998f3fbd4d86bdaecf412-r37538371307a1","69871","static/chunks/69871-e73ea4e698f4aa5c.js?dpl=fab2742d893394d20a6998f3fbd4d86bdaecf412-r37538371307a1","9830","static/chunks/9830-e764cd4901a2ee8b.js?dpl=fab2742d893394d20a6998f3fbd4d86bdaecf412-r37538371307a1","37995","static/chunks/37995-a267319c04e4f4c3.js?dpl=fab2742d893394d20a6998f3fbd4d86bdaecf412-r37538371307a1","16947","static/chunks/16947-62190f9e212c226a.js?dpl=fab2742d893394d20a6998f3fbd4d86bdaecf412-r37538371307a1","3111","static/chunks/3111-c37a29f093a7cb60.js?dpl=fab2742d893394d20a6998f3fbd4d86bdaecf412-r37538371307a1","99639","static/chunks/99639-d379b8a32a30ec2f.js?dpl=fab2742d893394d20a6998f3fbd4d86bdaecf412-r37538371307a1","80363","static/chunks/app/learn/%5BcanonicalUrl%5D/%5B...lessonSlug%5D/page-309bf8035ccde45a.js?dpl=fab2742d893394d20a6998f3fbd4d86bdaecf412-r37538371307a1"],"default"] 41:["$","$1","2",{"children":[["$","$1","0",{"children":" and "}]]}] 4f:T873,

L_2 = \{b^n | n \geq 0 \}

42:["$","$1","3",{"children":["$","code",null,{"children":[["$","span","0",{"dangerouslySetInnerHTML":{"__html":"$4f"}}]]}]}] 43:["$","$1","4",{"children":[["$","$1","0",{"children":", consider"}]]}] 50:T6f4,

L_1⋅L_2

44:["$","p","1",{"children":[["$","$1","0",{"children":[["$","$1","0",{"children":"(I) "}]]}],["$","$1","1",{"children":["$","code",null,{"children":[["$","span","0",{"dangerouslySetInnerHTML":{"__html":"$50"}}]]}]}],["$","$1","2",{"children":[["$","$1","0",{"children":" is a regular language"}]]}]]}] 51:T6e5,

\{a^n b^n|n \geq 0\}

45:["$","p","2",{"children":[["$","$1","0",{"children":[["$","$1","0",{"children":"(II) L"}]]}],["$","$1","1",{"children":[["$","$1","0",{"children":"1"}]]}],["$","$1","2",{"children":[["$","$1","0",{"children":"⋅L"}]]}],["$","$1","3",{"children":[["$","$1","0",{"children":"2"}]]}],["$","$1","4",{"children":[["$","$1","0",{"children":" = "}]]}],["$","$1","5",{"children":["$","code",null,{"children":[["$","span","0",{"dangerouslySetInnerHTML":{"__html":"$51"}}]]}]}],["$","$1","6",{"children":[["$","$1","0",{"children":"."}]]}]]}] 46:["$","p","3",{"children":[["$","$1","0",{"children":[["$","$1","0",{"children":"Which one of the following is CORRECT?"}]]}]]}] 47:["$","ol",null,{"className":"mt-4 list-none space-y-2 pl-0","data-ssr-question-options":true,"children":[["$","li","A",{"children":[["$","span",null,{"className":"font-semibold","children":["A","."]}]," ",[["$","p","0",{"children":[["$","$1","0",{"children":[["$","$1","0",{"children":"Only (I)"}]]}]]}]]]}],["$","li","B",{"children":[["$","span",null,{"className":"font-semibold","children":["B","."]}]," ",[["$","p","0",{"children":[["$","$1","0",{"children":[["$","$1","0",{"children":"Only (II)"}]]}]]}]]]}],["$","li","C",{"children":[["$","span",null,{"className":"font-semibold","children":["C","."]}]," ",[["$","p","0",{"children":[["$","$1","0",{"children":[["$","$1","0",{"children":"Both (I) and (II)"}]]}]]}]]]}],["$","li","D",{"children":[["$","span",null,{"className":"font-semibold","children":["D","."]}]," ",[["$","p","0",{"children":[["$","$1","0",{"children":[["$","$1","0",{"children":"Neither (I) nor (II)"}]]}]]}]]]}]]}] 48:["$","p",null,{"className":"mt-3 text-sm text-content-secondary","data-ssr-question-analytics":true,"children":["Attempted by ",227," students","","."]}] 49:["$","div",null,{"id":"locked-question-solution","className":"kg-paywalled-solution","data-ssr-solution-paywall":true,"children":[["$","p",null,{"children":"Sign up free to check your answer"}],["$","a",null,{"href":"/auth/login","className":"underline","children":"Sign up free"}]]}] 4a:["$","nav",null,{"aria-label":"More questions in this collection","className":"mt-8","data-ssr-question-nav":true,"children":[["$","p",null,{"className":"text-sm text-content-secondary","children":["Question ",5," of ",14," ",["$","span",null,{"className":"inline-flex shrink-0 text-xs font-medium text-content-muted","children":"Q3584"}]," in"," ",["$","a",null,{"href":"/learn/GATE-GUIDANCE-BY-SANCHIT-SIR/theory-of-computationautomata-theory/regular-language-properties/closure-properties/pyq-questions","className":"text-content-success hover:underline","children":"PYQ Questions"}],"."]}],["$","ul",null,{"className":"mt-2 flex list-none flex-wrap gap-x-4 gap-y-2 pl-0 text-sm","children":[["$","li",null,{"children":["$","a",null,{"href":"/learn/GATE-GUIDANCE-BY-SANCHIT-SIR/theory-of-computationautomata-theory/regular-language-properties/closure-properties/pyq-questions?q=68ecac9095474565f43ef660","className":"text-content-success hover:underline","data-ssr-question-prev":true,"children":"← Previous question"}]}],["$","li",null,{"children":["$","a",null,{"href":"/learn/GATE-GUIDANCE-BY-SANCHIT-SIR/theory-of-computationautomata-theory/regular-language-properties/closure-properties/pyq-questions?q=68ecad2c95474565f43f053e","className":"text-content-success hover:underline","data-ssr-question-next":true,"children":"Next question →"}]}],[["$","li","68eca9a03260a79041a327d9",{"children":["$","a",null,{"href":"/learn/GATE-GUIDANCE-BY-SANCHIT-SIR/theory-of-computationautomata-theory/regular-language-properties/closure-properties/pyq-questions?q=68eca9a03260a79041a327d9","className":"text-content-success hover:underline","children":["Question ",1]}]}],["$","li","68ecabe795474565f43eea88",{"children":["$","a",null,{"href":"/learn/GATE-GUIDANCE-BY-SANCHIT-SIR/theory-of-computationautomata-theory/regular-language-properties/closure-properties/pyq-questions?q=68ecabe795474565f43eea88","className":"text-content-success hover:underline","children":["Question ",2]}]}],["$","li","68ecabf795474565f43eeb7a",{"children":["$","a",null,{"href":"/learn/GATE-GUIDANCE-BY-SANCHIT-SIR/theory-of-computationautomata-theory/regular-language-properties/closure-properties/pyq-questions?q=68ecabf795474565f43eeb7a","className":"text-content-success hover:underline","children":["Question ",3]}]}],["$","li","691ed0383ac59a7ddd32ffd8",{"children":["$","a",null,{"href":"/learn/GATE-GUIDANCE-BY-SANCHIT-SIR/theory-of-computationautomata-theory/regular-language-properties/closure-properties/pyq-questions?q=691ed0383ac59a7ddd32ffd8","className":"text-content-success hover:underline","children":["Question ",7]}]}],["$","li","691ed03e3ac59a7ddd330091",{"children":["$","a",null,{"href":"/learn/GATE-GUIDANCE-BY-SANCHIT-SIR/theory-of-computationautomata-theory/regular-language-properties/closure-properties/pyq-questions?q=691ed03e3ac59a7ddd330091","className":"text-content-success hover:underline","children":["Question ",8]}]}],["$","li","691ed04b3ac59a7ddd3302a3",{"children":["$","a",null,{"href":"/learn/GATE-GUIDANCE-BY-SANCHIT-SIR/theory-of-computationautomata-theory/regular-language-properties/closure-properties/pyq-questions?q=691ed04b3ac59a7ddd3302a3","className":"text-content-success hover:underline","children":["Question ",9]}]}],["$","li","691ed06f3ac59a7ddd330887",{"children":["$","a",null,{"href":"/learn/GATE-GUIDANCE-BY-SANCHIT-SIR/theory-of-computationautomata-theory/regular-language-properties/closure-properties/pyq-questions?q=691ed06f3ac59a7ddd330887","className":"text-content-success hover:underline","children":["Question ",10]}]}],["$","li","69b03af585e06b41061e622b",{"children":["$","a",null,{"href":"/learn/GATE-GUIDANCE-BY-SANCHIT-SIR/theory-of-computationautomata-theory/regular-language-properties/closure-properties/pyq-questions?q=69b03af585e06b41061e622b","className":"text-content-success hover:underline","children":["Question ",11]}]}]]]}]]}] 4b:["$","p",null,{"className":"mt-8","children":["$","$L2f",null,{"href":"/courses/GATE-GUIDANCE-BY-SANCHIT-SIR","className":"inline-block rounded-lg bg-surface-success-strong px-5 py-2.5 font-semibold text-content-inverse","data-ssr-enroll-cta":true,"children":["Explore the full course:"," ","Gate Guidance By Sanchit Sir"]}]}] 4d:["$","div",null,{"data-learn-authed-skeleton":true,"className":"min-h-[var(--kg-design-utility-min-h-451bd10b)]","children":["$","$L52",null,{"variant":"question"}]}]

If \(L_1 = \{a^n | n \geq 0 \}\) and \(L_2 = \{b^n | n \geq 0 \}\), consider…