If one of the vertices of the square circumscribing the circle | z -1|=√2 is 2+√3 i and centroid of the triangle formed by other vertices is k-(√3/3) i then find k.

Question

If one of the vertices of the square circumscribing the circle | z -1|=√2 is 2+√3 i and centroid of the triangle formed by other vertices is k-(√3/3) i then find k. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/a1577c2557108210712d7556062d03b4-.png" /> Centroid of Δ BCD =((0+0+2/3), (√3+(-√3)+(-√3)/3))((2/3),-(√3/3))

Q. If one of the vertices of the square circumscribing the circle $∣ z - 1∣ = 2$ is $2 + 3 i$ and centroid of the triangle formed by other vertices is $k - \frac{3}{3}$ i then find $k$ .

Centroid of $Δ BC D$
$= (\frac{0 + 0 + 2}{3}, \frac{3 + ( - 3 ) + ( - 3 )}{3}) (\frac{2}{3}, - \frac{3}{3})$

Q. If one of the vertices of the square circumscribing the circle ∣z−1∣=2​ is 2+3​i and centroid of the triangle formed by other vertices is k−33​​ i then find k.

Centroid of ΔBCD =(30+0+2​,33​+(−3​)+(−3​)​)(32​,−33​​)

Q. If one of the vertices of the square circumscribing the circle $∣ z - 1∣ = 2$ is $2 + 3 i$ and centroid of the triangle formed by other vertices is $k - \frac{3}{3}$ i then find $k$ .

Centroid of $Δ BC D$
$= (\frac{0 + 0 + 2}{3}, \frac{3 + ( - 3 ) + ( - 3 )}{3}) (\frac{2}{3}, - \frac{3}{3})$