JIPMAT 2021 (QA) PYQs

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

The sides of four triangles are given below. Which of them forms a right triangle ?

(A) $20 \mathrm{~cm}, 22 \mathrm{~cm}, 24 \mathrm{~cm}$

(B) $15 \mathrm{~cm}, 32 \mathrm{~cm}, 37 \mathrm{~cm}$

(C) $11 \mathrm{~cm}, 60 \mathrm{~cm}, 61 \mathrm{~cm}$

(D) $6 \mathrm{~cm}, 8 \mathrm{~cm}, 10 \mathrm{~cm}$

An equilateral triangle $A B C$ is inscribed in a circle of radius $20 \sqrt{3} \mathrm{~cm}$. The centroid of the triangle $A B C$ is at a distance $d$ from the vertex $A$. then $d$ is equal to ?