00:01
In this question, we have to find that what are the coordinates of the point of the direct line segment joining these two points that is partitioned in the ratio of 3 is to 1.
00:11
So in short, we are given a line segment.
00:14
The endpoints are given as negative 8 and minus 1 and 6 and negative 9.
00:20
And there is a point, let's say it's coordinates, it's p and q, and this is divided it, dividing it in the ratio 3 is to 1.
00:27
So we need to find the value of p and q.
00:30
So as per the as for the formula, the value of p will be m1 x2 plus m2 x1 over m1 plus m2 where m1 and m2 m1 is the ratio in which has been divided.
00:43
So what is m1 m1 is 3 x2 is 6 plus m2 is 1 x1 is minus 8 over m1 plus m2 over 3 plus 1.
00:56
So this will become 18 minus 8 over 4, which is 10 over 4, which is 5 over 2, which is 2 .5.
01:07
This is the coordinate of p.
01:09
And likewise, the coordinate of q will be, the only difference is this x2 and x1 is replaced by y2 and y1.
01:17
So the coordinates of q is m1, y2 plus m2, y1 plus m2...