Concept: This question requires converting a sentence from direct speech to indirect (reported or narrated) speech. This involves several changes: reporting verb, conjunction, pronouns, tense of the verb in the reported clause, and adverbs of time/place.
Step 1: Identify the components of the direct speech
Reporting verb: "told me"
Speaker of reported clause: "I" (refers to "he")
Verb in reported clause: "will go"
Adverb of time: "tomorrow"
Step 2: Rules for converting to indirect speech
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(A) Reporting Verb: If the reporting verb is in the past tense (like "told"), the tense of the verb in the reported speech usually changes. "told me" remains "told me" (or could be "said to me" becoming "told me").
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(B) Conjunction: Use "that" to introduce the reported clause (though it can sometimes be omitted).
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(C) Pronouns: Change pronouns according to the speaker and listener. "I" (referring to "he") becomes "he".
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(D) Tense Change (if reporting verb is past):
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(E) "will" changes to "would".
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(F) Adverbs of Time/Place:
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(G) "tomorrow" changes to "the next day" or "the following day".
Step 3: Apply the rules
Direct: "I will go to Delhi tomorrow," he told me.
Reporting verb "told me" remains.
Add "that".
"I" (referring to "he") becomes "he".
"will go" becomes "would go".
"tomorrow" becomes "the next day".
Indirect: He told me that he would go to Delhi the next day.
Step 4: Compare with the options
(1) He told me that I would go to Delhi tomorrow. (Pronoun "I" incorrect; "tomorrow" not changed)
(2) He told me that he will go to Delhi the next day. (Tense "will go" incorrect, should be "would go")
(3) He told me that he would go to Delhi the next day. (All changes correctly applied)
(4) He told me that he would go to Delhi tomorrow. ("tomorrow" not changed)
Option (3) is the correctly narrated form.