Question

6. If ∆ ABD is an right-angled triangle with ∠B= 90˚, then how many circles can be drawn passing through all the vertices ? *

•two

•more than one

•Infinite

•one and only one​

Answer 1

The correct answer is option D.

Answer 2

Answer:

one and only one

Step-by-step explanation:

There is one and only one triangle that passes through the three vertices of the triangle.

The circumcircle of a triangle is the circle that passes through all the three vertices of a triangle.

There is one and only one circle that passes through all the vertices of the triangle. Hence there is only one circumcircle to any triangle.

The given triangle is a right-angled triangle and in the case of the right-angled triangle the hypotenuse of the triangle will be the diameter of the circle hence the circumcentre is the mid-point of the hypotenuse of the right-angled triangle