Question

The lines with equation 2x - 3y = 8 and -x + 4y = 2 are perpendicular to each other.

• A. True
• B. False

Answer 1

The correct option is B

False

$2x-3y=8$

$\Rightarrow y=\frac{2x}{3}–\frac{8}{3}[\therefore m_1=\frac{2}{3}]$

$-x+4y=2$

$\Rightarrow y=\frac{x}{4}+\frac{1}{2}[\therefore m_2=\frac{1}{4}]$

$\because m_1\times m_2\ne -1$

So,given lines are not perpendicular.