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

1 / 3

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2 / 3

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Solution

The correct option is D $2 / 3$

$\frac{x}{a} + \frac{y}{b} = 1$ equal intercept

So, $a = b,$ taken $x + y = 0$ Slope is $- 1,$

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

$S l o p e = \frac{(1 - 2 k)}{- (k - 1)}$

$S l o p e = - 1$

$\frac{(1 - 2 k)}{- (k - 1)} = - 1$

$1 - 2 k = k - 1$

$3 k = 2$

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

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

The correct option is D 2/3xa+yb=1 equal intercept So, a=b, taken x+y=0 Slope is −1,x(1−2k)+y(k−1)+1+4k=0Slope=(1−2k)−(k−1)Slope=−1(1−2k)−(k−1)=−11−2k=k−13k=2k=23