CBSE Class 12 Sample Paper for 2024 Boards
You are here
CBSE Class 12 Sample Paper for 2024 Boards
Last updated at Feb. 10, 2025 by Teachoo
This question is similar to Question-19 CBSE Class-12 Sample Paper for 2023 Boards
Transcript
We know that Domain of 〖𝑠𝑖𝑛〗^(−1) 𝜃 𝑖𝑠 "[–1, 1]" Thus, we can write −1≤𝜃≤1 Putting θ = 𝑥^2−4 −𝟏 ≤𝒙^𝟐−𝟒≤𝟏" " Adding 4 on both sides 1+4 ≤𝑥^2−4+4≤1" "+ 4 𝟑 ≤𝒙^𝟐≤"5" Taking square root both sides ±√𝟑 ≤𝒙≤±√𝟓 " " So, we can write −√𝟓<𝒙 ≤−√𝟑 and √𝟑<𝒙 ≤√𝟓 Thus, Domain of〖 sin〗^(−1) (𝑥^2−4)𝑖𝑠 [−√𝟓, −√(𝟑 )]∪[√(𝟑 ), √𝟓] " "
