Consider the following statements: 1. There exists a positive real number m such that cosx = 2m + 1 2. mn ≥ m + n for all m, n belonging to set of natural numbers Which of the above statement(s) is/are correct?

1 only
2 only
Both 1 and 2
Neither 1 nor 2

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 4 : Neither 1 nor 2

Statement I:

For cosx ≤ 1

⇒ 2^{m + 1} ≤ 1(2⁰)

⇒ m ≤ -1

⇒ There exists no positive real number for which statement I is true

Statement II:

mn ≥ m + n

If we take m = 1

⇒ n ≥ n + 1, which is not possible for any natural number

⇒ Statement II is wrong

∴ Neither 1 nor 2 is true.

5 views Answered 2022-09-04 04:29

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