ISRO Electronics & Communication (ECE) 2009 - Question 15

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Topic: Electronics Engineering

A straight line and circle of radius are given. A chord is drawn at random to this circle parallel to the given line. Expected length of the chord is

  • A. 2a
  • B. $\pi a$
  • C. $\pi a/2$
  • D. None of these

Answer: C. $\pi a/2$

Explanation: A chord must be always less than the diameter, so expected length of the chord is less than 2a. $\frac{\pi a}{2}=1.57a<2a$. So, correct option is $\frac{\pi a}{2}$.

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