f(x)=xlogx,f(1)=0,f(2)=4 g(x)=2−x,g(1)=1,g(2)=0 log10>log4⇒1>log4 
Thus statement −1 and 2 both are true and statement-2 is a correct explanation of statement 1 .
Statement-1: The equation xlogx=2−x is satisfied by at least one value of x lying between 1 and 2. Statement-2: The function f(x)=xlogx is an increasing function in [1,2] and g(x)=2−x is a decreasing function in [1,2] and the graphs represented by these functions intersect at a point in [1,2]
Held on 9 Apr 2013 · Verified 6 Jul 2026.
Statement-1 is true; Statement-2 is true; Statement-2 is a correct explanation for Statement-1.
Statement-1 is true; Statement-2 is true; Statement-2 is not correct explanation for Statement-1.
Statement-1 1 is false, Statement- 2 is true.
Statement-1 1 is true, Statement- 2 is false.
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