AB os a diameter of a circle with centre at origin.what are the cootdinates of B if coordinate of A are(3,-5)
Since the diameter is symmetric about (0,0), B=(-3,5)
To find the coordinates of point B, we need to use the midpoint formula for a line segment. The midpoint of a line segment is the point located exactly halfway between two given points.
The midpoint formula is given by:
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)
In this case, the coordinates of point A are given as (3, -5), and we know that point B lies on the same line and is the midpoint of the diameter of the circle. Since AB is a diameter, the midpoint of AB will be at the origin (0, 0).
Let's substitute the given values into the midpoint formula:
((3 + x) / 2, (-5 + y) / 2) = (0, 0)
Simplifying the equation, we get:
(3 + x) / 2 = 0 => 3 + x = 0 => x = -3
(-5 + y) / 2 = 0 => -5 + y = 0 => y = 5
Therefore, the coordinates of point B are (-3, 5).