Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please solve RD Sharma class 12 chapter 5 Determinants exercise Fill in the blanks question 9 maths textbook solution

Please solve RD Sharma class 12 chapter 5 Determinants exercise Fill in the blanks question 9 maths textbook solution

Answers (1)

Answer: x=e^{2}

Hint: Here, we use basic concept of determinant of matrix

Given: A=\left[\begin{array}{cc} \log x & -1 \\ -\log x & 2 \end{array}\right]

           det (A) = 2           

Solution: Here, A=\left[\begin{array}{cc} \log x & -1 \\ -\log x & 2 \end{array}\right]

                \begin{aligned} &|A|=\log x \times 2-(-1 \times-\log x) \\ &=2 \log x-\log x \\ &|A|=\log x \end{aligned}

\begin{aligned} &\text { And }|A|=2 \text { (Given) }\\ &\text { So, }|A|=\log x=2 \end{aligned}

                \begin{aligned} &e^{\log x}=e^{2} \\ &x=e^{2}\left[e^{\log x}=x\right] \end{aligned}

Posted by

infoexpert26

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE Date Sheet 2027 LIVE: Class 10, 12 board exam schedule soon; passing marks, paper pattern
anam-khan

CBSE Class 12 West Asia special exam date sheet 2026 out; admit cards from October 12
anam-khan

CBSE Class 10, 12 private exams 2026-27 registration begins on cbse.gov.in, check eligibility and fees

Latest Question