In \(\triangle A B C\), the circle that touches the sides \(B C\) internally and other two sides \(A B\) and…

In \(\triangle A B C\), the circle that touches the sides \(B C\) internally and other two sides \(A B\) and \(A C\) externally, is called
  1. Ex circle opposite to angle \(A\)
  2. Inscribed circle opposite to angle \(A\)
  3. Circumcircle of the triangle
  4. No such circle exists

Solution

In \(\triangle A B C\), the circle that touches the side \(B C\) internally and other two sides \(A B\) and \(A C\) externally is called Ex-circle opposite to angle \(A\).
Hence, option (a) is correct.

Asked in: AP EAMCET 2020 (21 Sep Shift 2)

Practice more Straight Lines questions on Aicharya