Download App

MATRICES — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSMATRICES1 Mark
Question
 If $\text{AB}=\text{A}$ and $\text{BA = B}$ then $\text{B}^2 $ is equal to:
  1. $\text{B}$
  2. $\text{A}$
  3. $\text{-B}$
  4. $\text{B}^2$
✓

Answer

  1. $\text{B}$
Solution:
 
We have, $\text{AB}=\text{A}$and $\text{BA = B}$
Since, $\text{B}^2=\text{B.B}$
$\text{B}^2=\text{(BA)}.\text{B}$
$\text{B}^2=\text{B}.\text{(AB)}$
$\text{B}^2=\text{B.A}$
$\text{B}^2=\text{B}$
Hence, this is the answer.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from MATRICES→MATRICES — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

Let $\theta=\sin ^{-1}\left(\sin \left(-600^{\circ}\right)\right)$, then value of $\theta$ is
→
If f(x) $=1-\frac{1}{\text{x}},$ then $\text{f}(\text{f}(\frac{1}{\text{x}}))$
  1. $\frac{1}{\text{x}}$
  2. $\frac{1}{1+\text{x}}$
  3. $\frac{\text{x}}{\text{x}-1}$
  4. $\frac{1}{\text{x}-1}$
→
If $y=\sin ^{-1} x$, then $\left(1-x^2\right) y_2$ is equal to
→
$\int\limits_{2}^{2} \mid\text{x}\mid\text{dx}=$
  1. 0
  2. 2
  3. 1
  4. 4
→
If $\text{f(x)}=\text{x}^2+\frac{\text{x}^2}{1+\text{x}^2}+\frac{\text{x}^2}{(1+\text{x}^2)}+....+\frac{\text{x}^2}{(1+\text{x}^2)}+....,$ then at x = 0, f(x):
  1. Has not limit.
  2. Is discontinuous.
  3. Is continuous but not differentiable.
  4. Is differentiable.
→
$\int\limits_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\sec^2\text{x dx}$ is equal to:
  1. -1
  2. 0
  3. 1
  4. 2
→
Find the value of $ {\sin ^{ - 1}}\left( 1 \right):$
  1. $ \dfrac{\pi}{7}$
  2. $ \dfrac{\pi}{6}$
  3. $ \dfrac{\pi}{4}$
  4. $ \dfrac{\pi}{2}$
→
The number of commutative binary operation that can be defined on a set of 2 elements is:
  1. 8
  2. 6
  3. 4
  4. 2
→
Which of these is equal to the area lying between the parabola $y^2=4 x$ and its latus rectum?
→
One hundred idential coins, each with probability p of showing heads are tossed once. If 0 < p < 1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins, the value of p is:
  1. $\frac{1}{2}$
  2. $\frac{51}{101}$
  3. $\frac{49}{101}$
  4. $\text{None of these}$
→