JIPMAT (QA) PYQs

The points $(2,2),(6,3)$ and $(4,11)$ are vertices of :

An equilateral triangle $\mathrm{ABC}$ is inscribed in a circle of radius $20 \sqrt{3} \mathrm{~cm}$. What is the length of the side of the triangle ?

Given below are two statements:

Statement I: In $\triangle A B C, A B=6 \sqrt{3} \mathrm{~cm}, A C=12 \mathrm{~cm}$ and $B C=6 \mathrm{~cm}$, then angle $B=90^{\circ}$

Statement II: In $\triangle A B C$, is an isosceles with $A C=B C$. If $A B^{2}=2 AC^{2}$, Then angle $C=90^{\circ}$

In the light of the above statement, choose the correct answer form the question below.