A, B, C are three points so that AB = 4 cm, BC = 6 cm and AC = 10 cm. The number of circles passing through the points A, B, C is:
Answer & explanation
Correct answer: option 2
We know that,
Property of formation of triangle is;
Sum of any two sides must be greater than the 3rd side.
i.e. a + b > c where a, b, c are three sides of the triangle.
According to the question,
A, B, C three points.
AB = 4 cm
BC = 6 cm
AC = 10 cm
AB + BC = AC
No triangle can be formed using the three sides given so, No circle will pass through the points A, B, C.