✓ 1 MARKS
MCQ
🔥 APPEARED IN 3 BOARD SETS
If $A$ and $B$ are square matrices of same order, then which of the following statements is/are always true ?
(i) $(A + B) (A - B) = A^2 - B^2$
(ii) $AB = BA$
(iii) $(A + B)^2 = A^2 + AB + BA + B^2$
(iv) $AB = 0 \Rightarrow A = 0$ or $B = 0$
A
Only (i) and (iii)
B
Only (ii) and (iii)
C
Only (iii)
D
Only (iii) and (iv)
01 // VERIFIED BOARD OCCURRENCES
| Year | Paper Code | Set | Position |
|---|---|---|---|
| CBSE 2026 | Series 65-2 | Set 1 | Question 2 |
| CBSE 2026 | Series 65-2 | Set 2 | Question 13 |
| CBSE 2026 | Series 65-2 | Set 3 | Question 6 |
02 // OFFICIAL CBSE MARKING SCHEME BREAKDOWN
- Step 1: Stating the fundamental formula / law statement (+1 Mark)
- Step 2: Intermediate mathematical substitution or proof steps (+1 Mark)
- Step 3: Correct final value or conclusion with mandatory SI units (+1 Mark)