If \( A=\left[\begin{array}{cc}\cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha\end{array...
If \( A=\left[\begin{array}{cc}\cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha\end{array}\right] \) and \( B=\left[\begin{array}{cc}\cos \beta & -\sin \beta \\ \sin \beta & \cos \beta\end{array}\right] \),
P then the correct relation is
W
(1) \( \mathrm{A}^{2}=\mathrm{B}^{2} \)
(2) \( A+B=B-A \)
(3) \( A B=B A \)
(4) \( \mathrm{AB}=0 \)
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live
Other Videos By PW Solutions
| 2023-02-14 | A particle moves in a circular orbit under the action of a central ... |
| 2023-02-14 | Column-I
Column-II
[JEE Advanced-2015]
P
(A) In \( \mathrm{R}^{2} \), if the magnitude of the pr... |
| 2023-02-14 | A bag contains 5 white and 3 black balls. Two balls are drawn at ra... |
| 2023-02-14 | A four figure number is formed of the figures \( 1,2,3,5 \), with n... |
| 2023-02-14 | Erythropoietin hormone which stimulates RBC formation is produced b... |
| 2023-02-14 | When a particle is in uniform circular motion it does not have
(a) ... |
| 2023-02-14 | Tryptophan is the precursor for the synthesis of
\( (2016-I) \)
(a)... |
| 2023-02-14 | A projectile is fired from the surface of the earth with a velocity... |
| 2023-02-14 | Match the following hormones with the respective disease
\( \mathrm... |
| 2023-02-14 | क्या A.P. \( 11,8,5,2 \ldots \) का एक पद \( -150 \) है? क्यों? |
| 2023-02-14 | If \( A=\left[\begin{array}{cc}\cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha\end{array... |
| 2023-02-14 | If the angles of projection of a projectile with same initial veloc... |
| 2023-02-14 | The range of a projectile is \( \mathrm{R} \) when the angle of pro... |
| 2023-02-14 | A fair coin is tossed a fixed number of times. If the probability o... |
| 2023-02-14 | A cricket ball is hit at angle of \( 30^{\circ} \) to the horizonta... |
| 2023-02-14 | If \( A+B=\left[\begin{array}{ll}1 & 0 \\ 1 & 1\end{array}\right] \) and \( A-2 B=\left[\begin{a... |
| 2023-02-14 | Let a perpendicular \( \mathrm{PQ} \) be drawn from \( \mathrm{P}(5,7,3) \) to the line \( \frac... |
| 2023-02-14 | Asymptotes of the hyperbola \( x y=4 x+3 y \) are
(A) \( x=3, y=4 \)
(B) \( x=4, y=3 \)
(W)
(C) ... |
| 2023-02-14 | If a number of two digit is formed with the digit \( 2,3,5,7,9 \) w... |
| 2023-02-14 | If \( A \) and \( B \) are independent events such that \( P(A)=0.3... |
| 2023-02-14 | The greatest range of a particle, projected with a given velocity o... |
0