Question

For two triangles of area $\frac { \sqrt { 3 } } { 2 }$are drawn inside a circle of radius 1, select the correct alternatives-

• A. The triangles have atleast one point of intersection
• B. The triangles can’t have any point of intersection
• C. The triangles may or may not have any point of intersection
• D. Nothing can be said

Answer 1

Answer: (A)

The triangles have atleast one point of intersection

Answer 2

The maximum area of a triangle inscribed in a semi-circle of radius 1 is $\frac { 1 } { 2 }$× 2 × 1 (base is diameter of semi-circle).

Ž triangle of area $\frac { \sqrt { 3 } } { 2 }$have atleast one point common.