Q53 / 91 · KVPY 2018 (SB/SX) · Mathematics

Let R be a rectangle, C be a circle, and T be a triangle in the plane. The maximum possible number of points common to the perimeters of R, C and T is

  • A
    3
  • B
    4
  • C
    5
  • Correct answer
    D
    6

Solution

Maximum possible number of points common to the perimeter of rectangle, circle and triangle is 6.
Figure

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

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