SECTION-4 ( Maximum Marks : 12)
• This section contains FOUR (04) Matching List Sets.
• Each set has ONE Multiple Choice Question.
• Each set has TWO lists: List-I and List-II.
• List-I has Four entries (P), (Q), (R) and (S) and List-II has Five entries (1), (2), (3), (4) and (5).
• FOUR options are given in each Multiple Choice Question based on List-I and List-II and ONLY ONE of these four options satisfies the condition asked in the Multiple Choice Question.
• Answer to each question will be evaluated according to the following marking scheme:
Full Marks 
ONLY if the option corresponding to the correct combination is chosen;
Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered);
Negative Marks : -1 In all other cases.
Let 
and 
be the distinct roots of the equation 
. Consider the set 
. For a 
matrix 
, define 
and 
for 
and 
Match each entry in List-I to the correct entry in List-II.
List-I | List-II | ||
The number of matrices with all entries in such that for all is | (1) | 1 | |
The number of symmetric matrices with all entries in such that for all is | (2) | 12 | |
Let be a skew symmetric matrix such that for . Then the number of elements
| Infinite | ||
Let be a matrix with all entries in such that for all . Then the absolute value of the determinant of is | 6 | ||
0 |
The correct option is
(4) (Q) 
(2) (R) 
(5) (S) 
(1) 
(2) (Q) 
(4) (R) 
(1) (S) 
(5) 
(2) (Q) 
(4) (R) 
(3) (S) 
(5) 
(1) (Q) 
(5) (R) 
(3) (S) 
(4)
Text Solution
Verified by ExpertsC
roots are 
and 
Set 
(P) for all
(Q) Number of symmetric matrices 
?
Number of symmetric matrices
(R) 
skew symmetric of 
for 
As and
System has infinite solutions
(S) 
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