The two lines 3x + 2y – 80 = 0 and 4x + 3y -110 = 0 are A) coincide

1.	The two lines 3x + 2y – 80 = 0 and 4x + 3y -110 = 0 are A) coincident linesB) parallel lines C) intersecting lines D) None
Answer» Correct option is (C) intersecting lines By comparing with standard form of system of linear equations, we get \(a_1=3,b_1=2,c_1=-80\) and \(a_2=4,b_2=3,c_2=-110\) \(\because\) \(\frac{a_1}{a_2}=\frac34,\) \(\frac{b_1}{b_2}=\frac23\) \(\because\) \(\frac34\neq\frac23\) \(\therefore\) \(\frac{a_1}{a_2}\neq\frac{b_1}{b_2}\) \(\therefore\) Both gives lines are intersecting lines. Correct option is C) intersecting lines

The two lines 3x + 2y – 80 = 0 and 4x + 3y -110 = 0 are A) coincident linesB) parallel lines C) intersecting lines D) None

Answer»

Correct option is (C) intersecting lines

By comparing with standard form of system of linear equations, we get

\(a_1=3,b_1=2,c_1=-80\) and

\(a_2=4,b_2=3,c_2=-110\)

\(\because\) \(\frac{a_1}{a_2}=\frac34,\) \(\frac{b_1}{b_2}=\frac23\)

\(\because\) \(\frac34\neq\frac23\)

\(\therefore\) \(\frac{a_1}{a_2}\neq\frac{b_1}{b_2}\)

\(\therefore\) Both gives lines are intersecting lines.

Correct option is C) intersecting lines