JEE Main 2026 — Determinants Question with Solution
JEE Main 2026 (22 January Shift 2)
Question
Let n be the number obtained on rolling a fair die. If the probability that the system
has a unique solution is ,
then the sum of and all possible values of is :
has a unique solution is ,
then the sum of and all possible values of is :
Choose an option
Show full solutionCorrect option: D
Correct answer
D22
Step-by-step explanation
The coefficient matrix has determinant .
The system has a unique solution when , which requires and .
For a fair die, , so the unique solution occurs for .
The probability is , giving .
The sum of and all possible values of where unique solution exists is .
The system has a unique solution when , which requires and .
For a fair die, , so the unique solution occurs for .
The probability is , giving .
The sum of and all possible values of where unique solution exists is .
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