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For the given figure length of OA is :

For the given figure length of OA is : Rational and Irrational Numbers, Concise Mathematics Solutions ICSE Class 9.
  1. 5\sqrt{5}

  2. 3\sqrt{3}

  3. 5 or 3\sqrt{5} \text{ or } \sqrt{3}

  4. neither 5\sqrt{5} nor 3\sqrt{3}

Rational Irrational Nos

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Answer

By pythagoras theorem,

Hypotenuse2 = Perpendicular2 + Base2

For the given figure length of OA is : Rational and Irrational Numbers, Concise Mathematics Solutions ICSE Class 9.

⇒ OA2 = AB2 + OB2

⇒ OA2 = 22 + 12

⇒ OA2 = 4 + 1

⇒ OA = 5

⇒ OA = 5\sqrt{5}.

Hence, Option 1 is the correct option.

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