Q37 / 120 · NDA 2024 (Phase 2) · Mathematics

What is the maximum number of possible points of intersection of four straight lines and a circle (intersection is between lines as well as circle and lines)?

  • A
    $6$
  • B
    $10$
  • Correct answer
    C
    $14$
  • D
    $16$

Solution

There are 4 lines, then the maximum number of intersection points are ${ }^4 c_2=6$ And maximum number of intersection of circle with 4 lines are $4 \times 2=8$. Thus, the required intersection point $=6+8=14$.

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

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