Question

The maximum number of points of inter section of 10 circles will be (a) 2 (b) 20 () 90 (d) 180

Answer 1

We know,

A pair of circles can have maximum 2 intersection points.

Then,

Number of pairs of circles  = ¹⁰C₂ = 90/2 = 45  

Therefore,

Maximum number of intersections = 45 × 2 = 90

$\huge\boxed{\bold{\sf Number\:of\:points\:of\:intersection=(c)\:90}}$

Answer 2

Answer:

c. 90

The maximum number of intersections of 10 circles must occur when each circle intersects every other circle in 2 points apiece. Therefore the total number of intersections can be given as the sum: 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 + 18 = 9