CAT 2017 Geometry & Mensuration Question (Medium)

Question

Let , , , , and be five diameters of a circle with center . How many ways can three points be chosen from to form a triangle?

Accepted Answer

Step 1 Total number of points 11 2 points per diameter 5 10, plus center Total ways to choose 3 points Step 2 Now subtract the number of selections that do not form a triangle , i.e., 3 collinear points. Only collinear triples possible are - Any diameter and the center all three lie on a straight li

CAT 2017

Quantitative

Geometry & Mensuration

Medium

Let $AB$ , $CD$ , $EF$ , $GH$ , and $JK$ be five diameters of a circle with center $O$ .
How many ways can three points be chosen from $A, B, C, D, E, F, G, H, J, K, O$ to form a triangle?

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