Equation of the line passing through the point (1,2) and having intercepts on
the axes in the ratio 2:3 is
A) 3x+4y=11 B) 3x+2y=7
C) 3x-2y=7 D) 4x+y=6
Answers
Given : line passing through the point (1,2) and having intercepts on
the axes in the ratio 2:3
To Find : Equation of the line
A) 3x+4y=11 B) 3x+2y=7
C) 3x-2y=7 D) 4x+y=6
Solution:
Having intercept on the axes in the ratio 2 : 3
Slope = 3/2 or - 3/2
y = (3/2)x + c or y = (-3/2)x + c
=> 2y = 3x + c or 2y = -3x + c
=>3x - 2y = c or 3x + 2y = c
Point ( 1 , 2) lies on line Hence
3x - 2y = c => 3(1) - 2(2) = c => c = - 1
=> 3x - 2y = - 1 not in options
3x + 2y = c => 3(1) + 2(2) =c => c = 7
3x + 2y = 7
Option B) 3x+2y=7 is correct
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