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In the given figure, O is the centre of the circle. It is also known that OA = OB and BM = 4 cm. What is the length of QR?
  • a)
    10 cm
  • b)
    11 cm
  • c)
    9 cm
  • d)
    8 cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In the given figure, O is the centre of the circle. It is also known t...
∵ OA is the perpendicular bisector of chord LM.
∴ BM = BL = 4 cm
⇒ LM = BL + BM = 8 cm
It is given OA = OB. i.e. chords PQ and LM are equidistant from the centre.
∴ The length of the chords will be equal.
∴ PQ = LM = 8 cm
In ΔPQR, 2 angles measure 60°, so the triangle is equilateral.
∴ PQ = QR = PR
∴ Length of QR = 8 cm
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In the given figure, O is the centre of the circle. It is also known that OA = OB and BM = 4 cm. What is the length of QR?a)10 cmb)11 cmc)9 cmd)8 cmCorrect answer is option 'D'. Can you explain this answer?
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