00:01
In this question, we've given that in a parallelogram, a, b, c, the coordinates of a are 43 and the coordinates of the midpoint of diagonal ac are 2 -5s.
00:12
So you want to find the coordinates of the point c.
00:15
Now let's catch this parallelogram.
00:22
The parallelogram is such that a has the coordinates 4 -3, and let me just call this part a, the coordinates 4 -3, and the coordinates 4 -3.
00:39
4, 3, you can call this b, c.
00:45
Then we told that the coordinates of the midpoint of diagonal ac, so the midpoint has the coordinates to 5.
00:59
Okay, so this is just a sketch.
01:02
So we'll use that information to find the coordinates of point c.
01:10
Now, the midpoint formula is given by, if you want to get the midpoint m of of any two points.
01:23
You'll just have to add the values of the x coordinates divide by 2.
01:31
Then you add the values of the y coordinates and also divide by 2.
01:37
So in our case here, the coordinates of the midpoints are 2 -5, and they have been obtained from adding the xes.
01:49
So that's 4 plus x.
01:52
This x over here and this four over here.
01:55
That's the x coordinates divide by 2.
01:58
And the y coordinates are 3 plus y, and that has also be divided by 2.
02:06
So that's the equation that we need to solve...