Question

The number of circles that can be drawn, touching all the vertices of a triangle is ___ .

• A. One
• B. Two
• C. Many
• D. None of these

Answer 1

The correct option is A

One

Only one circle can be drawn touching all the vertices of a triangle. The intersection of the perpendicular bisectors of each side of the triangle gives the centre of this circle and is called the circumcentre of the triangle.