Question

Examine wheather the lines of pair of equations 2x-y=0 and 3x-4y=-5 are parallel or not​

Answer 1

$\textbf{Given:}$

$\textsf{Lines are}$

$\mathsf{2x-y=0\;and\;3x-4y+5=0}$

$\textbf{To examine:}$

$\textsf{whether the givens lines are parallel or not}$

$\textbf{Solution:}$

$\underline{\mathsf{Concept\;used:}}$

$\textsf{If slopes of two lines are equal,}$

$\textsf{the lines are parallel}$

$\mathsf{Slope\;of\;2x-y=0\;is\;m_1=\dfrac{-2}{-1}=2}$

$\mathsf{Slope\;of\;3x-4y+5=0\;is\;m_2=\dfrac{-3}{-4}=\dfrac{3}{4}}$

$\implies\mathsf{m_1\;{\neq}\;m_2}$

$\therefore\textsf{The given lines are not parallel}$

$\textbf{Find more:}$

Find the distance between the parallel lines 3x + 4y = 5 and 6x + 8y = 45.

https://brainly.in/question/38747047