Test prep (2) 23.09.07

moneyman wrote:WHich of the foll lists the number of points at which a circle can intersect a triangle??

2 and 6
2,4 and 6
1,2,3 and 6
1,2,3,4 and 6
1,2,3,4,5 and 6

well the least number of points the circle can intersect a triangle is 2, so that eliminates the last 3 options ... that leaves us with the first 2 options ... and out of them the answer is the 2nd options bcoz a circle can also intersect the triangle at 4 points ..

my answer is 1,2,3,4,5,6

1- hypothetical but certainly possible, circle only touches one vertice of the traingle

2- I think this is blatant

3- e.g Circle inscribes a triangle touching the vertices

4 - e.g Circle cuts only two lines(sides) at two pts each of the traingle (area of circle < area of traingle)

5 - e.g Circle cuts two lines at two pts & the third is tangent to it.
(area of circle < area of traingle)

6- e.g Circle cuts all the three sides at 2 pts each of the traingle.
(area of circle < area of traingle)