Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • School
  • provide solution for RD Sharma maths class 12 chapter 5 Determinants exercise Fill in the blanks question 30

provide solution for RD Sharma maths class 12 chapter 5 Determinants exercise  Fill in the blanks question 30

Answers (1)

best_answer

Answer: Zero

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

Given: \left[\begin{array}{ccc} \sin A & \cos A & \sin A+\cos B \\ \sin B & \cos A & \sin B+\cos B \\ \sin C & \cos A & \sin C+\cos B \end{array}\right]=0

Solution: Let’s take sin A, sin B and sin C common from respectively 1st , 2nd and 3rd row

                \sin A \sin B \sin C\left[\begin{array}{lll} 1 & \cos A & 1+\cos B \\ 1 & \cos A & 1+\cos B \\ 1 & \cos A & 1+\cos B \end{array}\right]

Here, all rows are same

According to properties of determinants, if there are 2 or more rows are same then, value of determinants is zero.

So, Answer is zero.

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 Class 12 board exams 2025 to have 50% competency-based questions; no change in 10th
anam-khan

CBSE Class 12 board exams 2024 over; expected result date, trends of last 10 years
anam-khan

CBSE Class 12 accountancy board exam analysis 2024 out; paper rated easy, balanced

Latest Question