Trisection Points of Line
Trisection Points of Line
Trisection means dividing a line segment into three equal parts.
To divide a line segment AB into three equal parts we have to find two points P and Q such that AP = PQ= QB
Let AP = PQ = QB = k
Then AP = k and PB = PQ + QB = k + k=2k
That means P divides the line segment in the ratio k : 2k = 1 : 2
The coordinates of can be found by using the section formula for coordinates
and
using the ration 1:2
Similarly, AQ = AP + PQ = k + k = 2k and QB = k
In the given figure P(5,-3) and Q(3,y) are the points of trisection of the line segment joining A(7,-2) and B(1,-5). Then, y equals : | |||
| Right Option : C | |||
| View Explanation | |||
Find the coordinates of the points of trisection of the line segment joining (4, -1) and (1, -3). | |||
| Right Option : B | |||
| View Explanation | |||
In the given figure P(6,-3) and Q(2,y) are the points of trisection of the line segment joining A(7,-2) and B(1,-5). Then, y equals : | |||
| Right Option : A | |||
| View Explanation | |||
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