Q163 / 270 · NDA 2023 (Phase 2) · Mathematics

What is the maximum number of points of intersection of 10 circles?

  • A
    45
  • B
    60
  • Correct answer
    C
    90
  • D
    120

Solution

since, maximum number of points of intersection of 10 circle $={ }^{10} \mathrm{C}_2 \times 2=\frac{10 \times 9}{2} \times 2=90$

Hence, the correct answer is option: 'C'.

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