Question

Let $(-3,2)$ be one end of a diameter of a circle with center $(4,6)$. Find the other end of the diameter.

• A. $(11,10)$
• B. $(10,2)$
• C. $(1,1)$
• D. $(7,5)$

Answer 1

The correct option is A $(11,10)$

Let the other end of the diameter be $(x,y)$ and as center is the midpoint of the diameter, we have:

$\frac{x-3}{2}=4\Rightarrow x=11$

$\frac{y+2}{2}=6\Rightarrow y=10$

So the other end of the diameter is $(11,10)$

So option A is the right answer.