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  • Statement 1 : The equation is satisfied by atleast one value of <img alt="x" sr

Statement 1 : The equation x\: logx=2-x is satisfied by atleast one value of x lying between 1 and 2.

Statement 2 : The function f(x)=\: x\: logx 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] .

Option: 1

Statement-1 is true; Statement-2 is true; Statement- 2 is a correct explanation for Statement-1.


Option: 2

Statement-1 is true; Statement-2 is true; Statement- 2 is not correct explanation for Statement-1.


Option: 3

Statement -1 is false , Statement -2 is true .


Option: 4

Statement -1 is true , Statement -2 is false  .


Answers (1)

best_answer

\\f(x)=x \log x, f(1)=0, f(2)=4 \\ g(x)=2-x, g(1)=1, g(2)=0 \\ \log 10>\log 4 \Rightarrow 1>\log 4

Thus statement -1 and 2 both are true and statement-2 is a correct explanation of statement 1

Posted by

Pankaj Sanodiya

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