Let denote the number that turns up when a fair die is rolled. If the probability that the system of equations has unique solution is , then the sum of value of and all possible values of is:

20 Explanation: Solution Unique Solution ki Condition: Unique solution ke liye determinant ( ) zero nahi hona chahiye ( ). N ki values: Iska matlab aur . Ek die par possible values hoti hain. Unique solution ke liye favorable values hain. Value of : Probability . Sawal ke anusar probability hai, isliye . Final Sum: Hume aur ki un values ka sum nikalna hai jo unique solution deti hain: Sum Sum

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JEE 2023 — Mathematics PYQ

JEE | Mathematics | 2023

Let $N$ denote the number that turns up when a fair die is rolled. If the probability that the system of equations
$x + y + z = 1$
$2 x + N y + 2 z = 2$
$3 x + 3 y + N z = 3$
has unique solution is $\frac{k}{6}$ , then the sum of value of $k$ and all possible values of $N$ is:

Choose the correct answer: