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  • need solution for rd sharma maths class 12 chapter 14 Mean Value Theoram exercise multiple choice question 7

need solution for rd sharma maths class 12 chapter 14 Mean Value Theoram exercise multiple choice question 7

Answers (1)

Answer:

Option (a)

Hint:

Find the slope of points.

Given:

y=x\log x  parallel to the chord joining the points (1,0) and (e,e) .

Solution:

                Slope of points  =\frac{e-0}{e-1}

                y=x\log x

                \frac{dy}{dx}=1+log x

Now,         1+log\; x=\frac{e}{e-1}                           [? slope of tangent   =\frac{dy}{dx} ]         

 \Rightarrow \; \; \; \; \; \;\; \; \log x=\frac{e}{e-1}-1

\Rightarrow \; \; \; \; \; \;\; \; \log x=\frac{e-(e-1)}{e-1}

\Rightarrow \; \; \; \; \; \;\; \; \log x=\frac{1}{e-1}

\Rightarrow \; \; \; \; \; \;\; \; x=e^{\frac{1}{e-1}}               

Hence option (a) is correct.

 

Posted by

infoexpert26

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