Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • Need solution for RD Sharma maths class 12 chapter Determinants exercise 5.1 question 2 subquestion (iv)

Need solution for RD Sharma maths class 12 chapter Determinants exercise 5.1 question 2 subquestion (iv)

Answers (1)

Answer:

a^{2}+b^{2}+c^{2}+d^{2}

Hint:

Determinant matrix must be square (i.e. same number of rows and columns)

Given:

\begin{aligned} \left|\begin{array}{cc} \mathrm{a}+\mathrm{ib} & \mathrm{c}+\mathrm{id} \\ -\mathrm{c}+\mathrm{id} & \mathrm{a}-\mathrm{ib} \end{array}\right|\\ \end{aligned}

Solution:

\begin{aligned} &\begin{aligned} &\mathrm{D}=\mathrm{a}_{11} \times \mathrm{C}_{11}+\mathrm{a}_{21} \times \mathrm{C}_{21} \\ &\quad=\mathrm{a}+\mathrm{ib}(\mathrm{a}-\mathrm{ib})+\mathrm{c}+\mathrm{id}(-\mathrm{c}+\mathrm{id}) \\ &\quad=\mathrm{a}^{2}-\mathrm{i}^{2} \mathrm{~b}^{2}-\mathrm{i}^{2} \mathrm{~d}^{2}+\mathrm{c}^{2} \\ &\quad=\mathrm{a}^{2}+\mathrm{c}^{2}+\mathrm{b}^{2}+\mathrm{d}^{2} \end{aligned} \end{aligned}

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

PM Modi's Pariksha Pe Charcha 2025 to be held next month, registrations open till January 14
anam-khan

CBSE Board Exams 2025: Online portal for availing exemptions by CWSN students opens
anam-khan

Board Exams: States agree to equivalence; no question paper ‘jumbling’ from next year, says PARAKH CEO

Latest Question