The line (3x - y + 5) + (2x - 3y - 4) = 0 will be parallel to y-a… - Vidyadip

MCQ

The line $(3x - y + 5) + \lambda (2x - 3y - 4) = 0$ will be parallel to $y$-axis, if $\lambda$ =

A
$\frac{1}{3}$
✓
$\frac{{ - 1}}{3}$
C
$\frac{3}{2}$
D
$\frac{{ - 3}}{2}$

✓

Answer

Correct option: B.

$\frac{{ - 1}}{3}$

b
(b) The given line can be written in this form $(3 + 2\lambda )x + ( - 1 - 3\lambda )y + (5 - 4\lambda ) = 0$

It is will be parallel to $y$-axis, if

$ - 1 - 3\lambda = 0 $

$\Rightarrow \,\lambda = - \frac{1}{3}$.

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