Home
Class 12
MATHS
statement:e^pi is bigger than pi^e stat...

statement:`e^pi` is bigger than `pi^e` statement 2:`f(x)=x^(1/x)` is an increasing function whenn `xe[e,oo)`

A

Statement -1 is True Statement-2 is True : Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is True, Statement -2 is True : Statement-2 is NOT a correct explanation for Statement-1.

C

Statement-1 is True Statement-2 is True

D

Statement-1 is False, Statement -2 is True

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise Part II -1E|6 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise Part II -1F|5 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise Part II -1C|5 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

Statement-1 e^(pi) gt pi^( e) Statement -2 The function x^(1//x)( x gt 0) is strictly decreasing in [e ,oo)

Statement-1: e^(x)+e^(-x)>2+x^(2),x!=0 Statement-2: f(x)=e^(x)+e^(-x)-2-x^(2) is an increasing function.

Consider the following statements 1 f(x)=In x is an increasing funciton on (0,oo) 2 f(x) =e^(x)-x(In x) is an increasing function on (1,oo) Which of the above statement is / are correct ?

Statement-2 f(x)=(sin x)/(x) lt 1 for lt x lt pi/2 Statement -2 f(x)=(sin x)/(x) is decreasing function on (0,pi//2)

Prove that the function f(x)=log_(e)x is increasing on (0,oo)

Prove that the function f(x)=(log)_(e)x is increasing on (0,oo)

Statement 1: pi^(4) gt 4^(pi) because Statement 2 : The function y = x^(x) is decreasing forall x gt 1/e .

Consider the following statements 1 y=e^(x)+e^(-x)./(2) is an increasing funciton on [0,oo) 2 y=(e^(x)-e^(-x))/(2) is an increasing function on (-oo,oo) Which of the above statement is / are are correct ?

Statement 1: Let f(x)=sin(cos x) in [0,(pi)/(2)]* Then f(x) is decreasing in [0,(pi)/(2)] Statement 2:cos x is a decreasing function AA x in[0,(pi)/(2)]

Consider the following statements I.y=(e^(x)+e^(-x))/(2) is an increasing function on [0,oo). II.y=(e^(x)-e^(-x))/(2) is an increasing function on (-oo,oo). Which of the above statement(s) is/are correct?