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. x + y = 7
• B. 3x - 4y + 7 = 0
• C. 4x + 3y = 24
• D. 3x + 4y = 25

Answer 1

Answer: (C)

4x + 3y = 24

Answer 2

$\because$ A is the mid point of PQ , therefore $\frac{a+0}{2} = 3, \frac{0+b}{2} = 4 \Rightarrow a = 6 , b =8$ $\therefore$ Equation of line is $\frac{x}{6} + \frac{y}{8} = 1$ or 4x + 3y = 24