question_answer

A straight line through the point A (3, 4) is such that its intercept between the axes is bisected at A. Its equation is

A) \[3x-4x+7=0\]     

B)    \[4x+3y=24\]

C) \[3x+4y=25\]                    

D) \[4x-3y=12\]

Correct Answer: B

Solution :

                We have \[\frac{{{x}_{1}}+0}{2}=3\Rightarrow {{x}_{1}}=6\] \[\frac{{{y}_{1}}+0}{2}=4\Rightarrow {{y}_{1}}=8\] \[\therefore \] Equation of line is\[\frac{x}{6}+\frac{y}{8}=1\Rightarrow 4x+3y=24\]