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Geeta claims every point that lies between two rational numbers on the number line must also be rational. Choose the correct response.

Class 9Real Numbers on the Number LineNumber Systems
  • AFalse; irrational points like lie between rationals such as 1 and 2
  • BTrue; only rationals lie between rationals
  • CTrue; the line has no irrational points
  • DFalse; no points lie between two rationals

Step-by-Step Solution

Between any two rationals there are both rational and irrational numbers. For example about 1.414 lies between rationals 1 and 2, so Geeta's claim is false.
Answer: A) False; irrational points like lie between rationals such as 1 and 2

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