Question

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
• B. 4x + 3y = 24
• C. 3x + 4y = 25
• D. x + y = 7

Answer 1

Answer: (B)

4x + 3y = 24

Answer 2

A is mid point of line P
$\therefore \, \, 3 = \frac{a + 0}{2}$
$\Rightarrow a = 6$
and $4 = \frac{0+ b}{2}$

$\Rightarrow b = 8$
Thus, equation of line is
$\frac{x}{6} + \frac{y}{8} = 1$
$\Rightarrow \, 4x + 3y = 24$