Mathematics · 2024
JEE Main · 27 January 2024, Shift 1 · Q4
Consider the matrix f(x)= [cos x, - sin x, 0; sin x, cos x, 0; 0, 0, 1]. Given below are two statements: Statement I: f(-x) is the inverse of the…
Consider the matrix $\displaystyle f(x)=\left[\begin{array}{ccc}\cos x & -\sin x & 0 \\ \sin x & \cos x & 0 \\ 0 & 0 & 1\end{array}\right]$.
Given below are two statements :
Statement I: $\displaystyle f(-x)$ is the inverse of the matrix $\displaystyle f(x)$.
Statement II : $\displaystyle f(x) f(y)=f(x+y)$.
In the light of the above statements, choose the correct answer from the options given below
Official answer
From NTA’s final answer key for this paper.
(1)
Both Statement I and Statement II are true
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.