Home
Class 14
MATHS
Consider the following statements : 1...

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

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

Consider the following statements : 1. There exists a regular polygon whose exterior angle is 70^(@) . 2. Let n ge 5 . Then the exterior angle of any regular polygon of n sides is acute. Which of the above statements is/are correct?

There exist natural numbers,m & n such that m^(2)=n^(2)+2010.

Consider the following statements about natural numbers: There exists a smallest natural number. There exists a largest natural number. Between two natural numbers, there is always a natural number. Which of the above statements is/are correct? None (b) Only1 (c) 1 and 2 (d) 2 and 3

Consider the following statements : 1. Every integer is a rational number. 2. Every rational number is a real number. Which of the above statements is/are correct ?

If M= {x: x ge 7 and x in N} for universal set of natural number, then M is

Consider the following statements in respect of the set S={1,2,3…….n} : 1. (n+1)//2 is the median of the numbers in S. 2. n is the mode of the numbers in S Which of the above statements is/are correct

Prove that there exist no natural numbers, m and n such that m^(2)=n^(2)+2002.

Consider the following statements: I. n(sin^2 67(1^@)/(2)-sin^2 22 (1^@)/(2)) gt 1 for all positive integers n ge 2 . II. If x is any positive real number, then nx gt 1 for all positive integers n ge 2 . Which of the above statements is/are correct?