Question

The pair of linear equations are

$3x+4y=24$
$\frac{x}{4}+\frac{y}{3}=1$

• A. Parallel
• B. Perpendicular
• C. Concurrent
• D. Co-planar

Answer 1

Answer: (A), (D)

The correct options are
A Parallel
D Co-planar

The given equation are 2-D hence are co-planar for sure.

Now, the equation are:

$3x+4y=24$

$3x+4y=12$

Hence slopes of both lines are

$m_1=m_2=-\frac{3}{4}$

$\therefore$ The lines are parallel.