Questions
A straight line through point is such that its intercept between the axes is bisected at Its equation is
a
x+y=7
b
3x-4y+7=0
c
4x+3y=24
d
3x+4y=25
detailed solution
Correct option is C
Let the equation of the line be xa+yb=1. lt cuts the coordinates axes at P(a,0) and Q(0,b). It is given that PQ is bisected at A (3, 4).∴ a+02=3 and 0+b2=4⇒a=6,b=8.Hence, the equation of the line is x6+y8=1 or, 4x+3y=24.Talk to our academic expert!
Similar Questions
The equation of the straight line which passes through the point such that the portion of the line between the axes is divided internally by the point in the ratio 5:3 is
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