Consider the following two statements

$I$. Any pair of consistent liner equations in two variables must have a unique solution.

$II$. There do not exist two consecutive integers, the sum of whose squares is $365$.Then,

  • [KVPY 2018]
  • A

    both $I$ and $II$ are true

  • B

    both $I$ and $II$ are false

  • C

    $I$ is true and $II$ is false

  • D

    $I$ is false and $II$ is true

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  • [JEE MAIN 2024]