Question

26. A circle in the standard (x,y) coordinate plane hascenter C(-1,2) and passes through A(2,6). Linesegment AB is a diameter of this circle. What are thecoordinates of point B ?F. (-6,-2)G. (-5,-1)H. (-4,-2)J. (4, 2)K. (5,10)help please :)) also if you could explain it that’d be nice too

Answer 1

Step-by-step explanation

The center of the circle is C (-1, 2).

It passes through point A (2, 6) where line AB is the diameter of the center.

We want to find point B.

SInce Line AB is the diameter of the circle, this means that point A and B are equidistant from point C, the centre.

This means that if we measure the distance of A from C, it must give us the same as from B to C.

In other words, if we add points A and B and divide it by 2, we must arrive at point C.

Let point B be (x, y). Therefore: