Browse by Stream
QnA
Home

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Please solve RD Sharma class 12 chapter Determinants exercise multiple choise question 17 maths textbook solution

Please solve RD Sharma class 12 chapter Determinants exercise multiple choise question 17 maths textbook solution

Answers (1)

Answer:

Correct option (b)

Hint:

Use logarithm properties

Solution:

        \left|\begin{array}{cc} \log _{3}^{512} & \log _{4}^{3} \\ \log _{3}^{8} & \log _{4}^{9} \end{array}\right| \times\left|\begin{array}{ll} \log _{2}^{3} & \log _{8}^{3} \\ \log _{3}^{4} & \log _{3}^{4} \end{array}\right|

        =\left|\begin{array}{cc} \log _{3}{ }^{2^{9}} & \log _{4}^{3} \\ \log _{3}^{2^{3}} & \log _{4}^{3^{2}} \end{array}\right| \times\left|\begin{array}{cc} \log _{2}^{3} & \log _{8}^{3} \\ \log _{3}^{2^{2}} & \log _{3}^{2^{2}} \end{array}\right|

        =\left|\begin{array}{cc} 9\log _{3}{ }^{2} & \log _{4}^{3} \\ 3\log _{3}^{2} & 2\log _{4}^{3} \end{array}\right| \times\left|\begin{array}{cc} \log _{2}^{3} & \log _{8}^{3} \\ 2\log _{3}^{2} & 2\log _{3}^{2} \end{array}\right|

        =\left[\left(9 \times \frac{\log 2}{\log 3} \times 2 \times \frac{\log 3}{\log 4}\right)-3 \times \frac{\log 2}{\log 3} \times \frac{\log 3}{\log 4}\right] \times\left[\frac{\log 3}{\log 2} \times 2 \times \frac{\log 2}{\log 3}-\frac{\log 3}{\log 8} \times 2 \times \frac{\log 2}{\log 3}\right]

        =\left(18 \times \frac{\log 2}{2 \log 2}-3 \times \frac{\log 2}{2 \log 2}\right)\left(2-2 \times \frac{1}{3 \log 2} \times \log 2\right)

        =(9-\frac{3}{2})(2-\frac{2}{3})

        =\frac{15}{2}\times \frac{4}{3}

        =10

Posted by

Gurleen Kaur

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

Board Exam Result 2025 Live: UK Board 10th, 12th results tomorrow; AP SSC, TS Inter, UP, CBSE updates
anam-khan

When will CBSE Class 12 results 2025 be declared? Last two years' trends
anam-khan

CBSE Class 10, 12 board exams 2025 from April 7 to 11 for sports students

Latest Question