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Functions question

2011 · Shift 2 · Q40
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Functions question

2011 · Shift 2 · Q40

JEE AdvancedMathematicsFunctionsMCQ+3 / −1
Match the statements given in Column I with the intervals/union of intervals given in Column II : IIT-JEE 2011 Paper 2 Offline Mathematics - Functions Question 10 English
  1. A
    (A) →\to→(S), (B) →\to→(T), (C) →\to→(P), (D) →\to→ (Q)
  2. B
    (A) →\to→(S), (B) →\to→(T), (C) →\to→(R), (D) →\to→ (P)
  3. C
    (A) →\to→(S), (B) →\to→(T), (C) →\to→(R), (D) →\to→ (R)
  4. D
    (A) →\to→(P), (B) →\to→(Q), (C) →\to→(R), (D) →\to→ (R)
View written solutionFree

Correct answer: C

The question refers to matching items from Column I with intervals in Column II, but the actual contents of Column I and Column II are missing from the prompt.

So the only information available is the four composite options:

  • A: (A)→(S),(B)→(T),(C)→(P),(D)→(Q)(A)\to(S), (B)\to(T), (C)\to(P), (D)\to(Q)(A)→(S),(B)→(T),(C)→(P),(D)→(Q)
  • B: (A)→(S),(B)→(T),(C)→(R),(D)→(P)(A)\to(S), (B)\to(T), (C)\to(R), (D)\to(P)(A)→(S),(B)→(T),(C)→(R),(D)→(P)
  • C: (A)→(S),(B)→(T),(C)→(R),(D)→(R)(A)\to(S), (B)\to(T), (C)\to(R), (D)\to(R)(A)→(S),(B)→(T),(C)→(R),(D)→(R)
  • D: (A)→(P),(B)→(Q),(C)→(R),(D)→(R)(A)\to(P), (B)\to(Q), (C)\to(R), (D)\to(R)(A)→(P),(B)→(Q),(C)→(R),(D)→(R)

However, without the definitions of:

  1. Statements (A),(B),(C),(D)(A), (B), (C), (D)(A),(B),(C),(D) in Column I, and
  2. Intervals (P),(Q),(R),(S),(T)(P), (Q), (R), (S), (T)(P),(Q),(R),(S),(T) in Column II,

it is not possible to derive the answer mathematically from first principles.

Therefore, based only on the provided data, I cannot independently verify the match. Since the prompt also provides the stored correct answer as C, the best possible conclusion from the available information is to accept that answer.

Hence, Option C\boxed{\text{Option C}}Option C​

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