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IAT IISER2020MathematicsStraight Lines

Let S= (a, b): a, b Q and be the line y=m x+c . Which of the following statements is not correct?

Options

  1. AIf passes through exactly one point of S , then m must be irrational.
  2. BIf passes through two points of S , then m must be rational.
  3. CIf m is irrational and c is rational, then passes through exactly one point of S .
  4. DIf m is rational and c is irrational, then passes through at least one point of S .

Correct answer

D. If m is rational and c is irrational, then passes through at least one point of S .

Step-by-step solution

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