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      Question

      In a circle, two chords of lengths p and q subtend the

      angles of 60° and 90° at the center respectively. Which of the following is correct in this scenario?
      A q = √2x Correct Answer Incorrect Answer
      B q = 2x Correct Answer Incorrect Answer
      C p = 2y Correct Answer Incorrect Answer
      D p = √2 Correct Answer Incorrect Answer

      Solution

      Let the radius of the circle =r Length of chord p =r                    … (1)            (all angle is 60) Length of chord q = r/√2    … (2)            chord y is making an isosceles right triangle From EQ (1) and (2) … q= x√2 =√2x q= √2x.

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