Question

If the line (x-y+1) + k (y-2x+4) = 0 makes equal intercept on the axes then the value of k is

• A. 1/3
• B. 3/4
• C. 1/2
• D. 2/3

Answer 1

The correct option is D

2/3

Given line is (x-y+1) + k (y-2x+4) = 0

$\Rightarrow$ (1-2k)x+(k-1)y+(1+4k)=0

It is making equal intercepts on co-ordinate axis

\( x- intercept = y- intercept

$\Rightarrow$ $\frac{1+4k}{2k-1}=\frac{1+4k}{1-k}\Rightarrow 1+4k=0\Rightarrow k=-\frac{1}{4}$

Or

1-k = 2k-1

$\Rightarrow$ k = $\frac{2}{3}$

$\therefore$ k = $\frac{2}{3}$ (or) $\frac{-1}{4}$