JEE Main & Advanced
Sample Paper
JEE Main Sample Paper-31
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\[\frac{x}{6}+\frac{y}{8}=1\Rightarrow 4x+3y=24\]