Question
If $A B=A$ and $B A=B$, then
✓
Answer
$\text { (c) }: A=A B=A(B A)=(A B) A=A \cdot A=A^2$
$B=B A=B(A B)=(B A) B=B \cdot B=B^2$
$B=B A=B(A B)=(B A) B=B \cdot B=B^2$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Which of the following is a type of Linear programming problem?
The corner points of the bounded feasible region of an LPP are $O(0,0), A(250,0), B(200,50)$ and $C(0,175)$. If the maximum value of the objective function $Z=2 a x+$ by occurs at the points $A(250,0)$ and $B(200,50)$, then the relation between $a$ and $b$ is:
→Given the differential equation
$
\frac{d y}{d x}=\frac{6 x^2}{2 y+\cos y} ; y(1)=\pi \text {. }
$
Which of the following statements is correct?
→$
\frac{d y}{d x}=\frac{6 x^2}{2 y+\cos y} ; y(1)=\pi \text {. }
$
Which of the following statements is correct?
Objective function of a LPP is:
The number of points in $(-\infty,\infty)$ for which $\text{x}^{2}-\text{x}\sin\text{x}-\cos\text{x}=0,$ is:
→The equation of the plane through point (1, 2, -3) which is parallel to the plane 3x - 5y + 2z = 11 is given by:
- 3x - 5y + 2z - 13 = 0
- 5x - 3y + 2z + 13 = 0
- 3x - 2y + 5z + 13 = 0
- 3x - 5y + 2z + 13 = 0
$\int\limits^\infty_0\frac{1}{1+\text{e}^\text{x}}\text{dx}$ equals:
→- $\log2-1$
- $\log2$
- $\log4-1$
- $-\log2$
A coin is tossed 10 times. The probability of getting exactly six heads is:
→- $\frac{512}{513}$
- $\frac{105}{512}$
- $\frac{100}{153}$
- $\text{ }^{10}\text{C}_6$
Consider the binary operation * defined on Q − {1} by the rule a * b = a + b − ab for all a, b ∈ Q − {1}. The identity element in Q − {1} is:
→- $0$
- $1$
- $\frac{1}2$
- $-1$
A bag contains 12 balls out of which x are white. If one ball is drawn at random, what is the probability it will be a white ball?