Question

An equilateral triangle whose ethnocentric is (3, -2) one side is on x- axis thise vertex of triangle which is not on x-axis is

• A. (3, -6)
• B. (1, -2)
• C. (9, -2)
• D. (3, -3)

Answer 1

The correct option is A (3, -6)

For equilateral triangle all orthocentre, centroid and circumcentre are equivalent.

As G divide median DC in $2:1$

$\Rightarrow \frac{GC}{DG}=\frac{2}{1}$

$\Rightarrow GC=2\times 2$

$\Rightarrow GC=4$

$\Rightarrow DC=6$

$\Rightarrow C(3,-6)$

$\Rightarrow \left(A\right)$.