Find the points of trisection of line joining (2,6) and (4,8)
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★Given:-
- coordinates of line (2,6) and (4,8)
★To find :-
- points of trisection
★Solution :-
- using section formula
m1X2+m2X1
,,m1+m2
=>Let the ratio be 1:2
x or abscissa
=> 4×1+2×2/1+2
=> 4+4/3
=>8/3
y or ordinate
=>8×1+6×2/1+3
=>8+12/3
=>20/3
hence ,coordinate of Point P of AB
(8 , 20)
3. 3
=>now let ratio 2:1
point of abscissa
=> 4×2+2×1/2+1
=>8+2/3
=>10/3
point of ordinate
=>8×2+6×1/3
=>16+6/3
=>32/3
now coordinate of point Q are
(10/3 ,32/3)
What is trisection??
- trisection mean dividing a line segment in three equal parts or dividing line segment in 1:2 or 2:1
Thanks
hope its helpful
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