Question

For what value of $\lambda$ the equation of the line $\lambda$x + (1+$\lambda$)y + (2+$\lambda$)x +$\lambda$y +3=0 represents a line parallel to x-axis is

• A. -2
• B. - 1/2
• C. 2
• D. -1
• E. 1

Answer 1

The correct option is D

-1

The line (2+$2\lambda$)x +$(1+2\lambda )$y + 3 = 0 represents a line parallel to x-axis if

(2+$2\lambda$) = 0

So $\lambda$= -1.