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

The correct option is B 4x + 3y - 24

R.E.F image

As A is mid-point of PQ

$\Rightarrow 3=\frac{\alpha }{2},4=\frac{\beta }{2}\Rightarrow \alpha =6,\beta =8$

$\Rightarrow e{q}^n$ of PQ: $\frac{x}{6}+\frac{y}{8}=1\Rightarrow 4x+3y=24$

$\Rightarrow \left(B\right)$