MCQ
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
    $3x -4y + 7 = 0$
  • $4x + 3y = 24$
  • C
    $3x + 4y = 25$
  • D
    $x + y = 7$

Answer

Correct option: B.
$4x + 3y = 24$
b
$A$ is the mid point of $P Q$

$\frac{a+0}{2}=3=>a=6$

$\frac{0+b}{2}=4=>b=8$

Equation of the line is $\frac{x}{6}+\frac{y}{8}=1$

$\frac{4 x+3 y}{24}=1$

$4 x+3 y=24$

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