The portion of a line intercepted between the coordinate axes is divided by the point (2,-1) in the ratio 3:2 . The equation of a line
Answers
x - 3y - 5 = 0 is equation of line if The portion of a line intercepted between the coordinate axes is divided by the point (2,-1) in the ratio 3:2
Step-by-step explanation:
Let say equation of line
y = mx + c
y = 0 then x = -c/m
x = 0 then y = c
at x axis point is ( -c/m , 0)
at y axis point is ( 0 , c)
(2 , -1) divides in ratio of 3 : 2
=> (3 * 0 + 2(-c/m))/(3 + 2) = 2 or ( 3(c) + 2(0))/5 = - 1
=> -c/m = 5 => 3c = -5
=> c = - 5m => c = -5/3
-5m = -5/3
=> m = 1/3
y = x/3 - 5/3
=> 3y = x - 5
=> x - 3y - 5 = 0
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