If \( A=\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ \sin \...
If \( A=\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta\end{array}\right] \), then the matrix \( A^{-50} \) when
P
W \( \theta=\frac{\pi}{12} \), is equal to
[JEE Main-2019 (January)]
(a) \( \left[\begin{array}{cc}\frac{1}{2} & -\frac{\sqrt{3}}{2} \\ \frac{\sqrt{3}}{2} & \frac{1}{2}\end{array}\right] \)
(b) \( \left[\begin{array}{rr}\frac{\sqrt{3}}{2} & -\frac{1}{2} \\ \frac{1}{2} & \frac{\sqrt{3}}{2}\end{array}\right] \)
(c) \( \left[\begin{array}{cc}\frac{\sqrt{3}}{2} & \frac{1}{2} \\ -\frac{1}{2} & \frac{\sqrt{3}}{2}\end{array}\right] \)
(d) \( \left[\begin{array}{cc}\frac{1}{2} & \frac{\sqrt{3}}{2} \\ -\frac{\sqrt{3}}{2} & \frac{1}{2}\end{array}\right] \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-02-14 | Consider a complex number \( w=\frac{z-i}{2 z+1} \), where \( z=x+ \) iy and \( x, y \in R \).
W... |
| 2023-02-14 | In the following
questions, a statement \( I \) is followed by a co... |
| 2023-02-14 | In the preparation of \( \mathrm{HNO}_{3} \), we get \( \mathrm{NO}... |
| 2023-02-14 | Hot conc. \( \mathrm{H}_{2} \mathrm{SO}_{4} \) acts as moderately s... |
| 2023-02-14 | A solid cylinder of mass \( m \) is kept in balance on a fixed incline of angle \( \alpha=37^{\c... |
| 2023-02-14 | Which of the following statements is wrong?
(i) Single \( \mathrm{N... |
| 2023-02-14 | Match the column:
Column I
(a) \( \left[\begin{array}{lll}1 & x & 1... |
| 2023-02-14 | I. Joseph Henry, American experiment physicists professor at Prince... |
| 2023-02-14 | Nickel shows ferromagnetic property at room temperature. If the tem... |
| 2023-02-14 | Maximum covalency of nitrogen is
(i) 3
\( \mathrm{P} \)
(ii) 5
W
(i... |
| 2023-02-14 | If \( A=\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ \sin \... |
| 2023-02-14 | Let \( A \) and \( B \) be two invertible matrices of order \( 3 \t... |
| 2023-02-14 | The oxidation state of central atom in the anion of compound \( \ma... |
| 2023-02-14 | On heating ammonium dichromate and barium azide separately we get
(... |
| 2023-02-14 | In the following
questions, a statement of assertion is followed by... |
| 2023-02-14 | if the area (in sq. sunits) of the region \( \left\{(x, y): y^{2} \leq 4 x, x+y \leq 1, x \geq 0... |
| 2023-02-14 | Two coils have mutual inductance \( 0.005 \mathrm{H} \). The curren... |
| 2023-02-14 | A solid cylinder of mass \( m \) is kept in balance on a fixed incline of angle \( \alpha=37^{\c... |
| 2023-02-14 | If the chords of contact of tangents from two points \( \left(x_{1}... |
| 2023-02-14 | The equation of the chord joining two points \( \left(x_{1}, y_{1}\... |
| 2023-02-14 | If \( a_{i} \in R, i=1,2,3 \) and all \( a_{i} \) 's are distinct s... |
0