Question

B & C are fixed points having co-ordinates (3, 0) and (–3, 0) respectively. If the vertical angle BAC is ${90}^{\circ }$, then the locus of the centroid of the $\Delta ABC$ has the equation.

• A. $x^2+y^2=9$
• B. $x^2+y^2=2$
• C. $9(x^2+y^2)=1$
• D. $9(x^2+y^2)=4$

Answer 1

The correct option is A $x^2+y^2=9$

$\angle BAC=\frac{\pi }{2}\Rightarrow$ Circum - circle of $\Delta ABC$ is $x^2+y^2=9$