Question

S1: Incentre of an acute-angled triangle and a right-angled triangle lies inside the triangle.
S2: Incentre of an obtuse-angled triangle lies outside the triangle.

• A.
  Both S1 and S2 are true.
• B.
  S1 is true and S2 is false.
• C. S2 is true and S1 is false.
• D. Both S1 and S2 are false.

Answer 1

The correct option is B

S1 is true and S2 is false.
By constructing the incircle for any acute-angled triangle, we see that the incentre lies inside the triangle.

By constructing the incircle for any right-angled triangle, we see that the incentre lies inside the triangle.

By constructing the incircle for any obtuse-angled triangle, we see that the incentre lies inside the triangle.

Hence S1 is true and S2 is false.