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Two circles of radii 4 cm each cut each other such that each circle passes through the centre of each other. Thus, what is the length of the common chord?
  • a)
    2√3 cm
  • b)
    4√3 cm
  • c)
    2√2cm
  • d)
    8 cm
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Two circles of radii 4 cm each cut each other such that each circle pa...
Let the centers be O & O’
In △OPM,
OP2 = OM2 + PM2
16 = 4 + PM2
PM = √12
∴ Length of the common chord = 2√12 = 4√3 cm
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Most Upvoted Answer
Two circles of radii 4 cm each cut each other such that each circle pa...
Let the centers be O & O’
In △OPM,
OP2 = OM2 + PM2
16 = 4 + PM2
PM = √12
∴ Length of the common chord = 2√12 = 4√3 cm
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