10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank Case Based (MCQs) - Pair of Linear Equations in Two Variables

The equation of a line parallel to the line whose equation is given by \[\text{3x}-\text{2y}=\text{8}\] can be:

A) \[\text{3x}+\text{2y}=8\]

B) \[3x-2y=8\]

C) \[6x+4y=16\]

D) \[15x-10y=45\]

Correct Answer: D

Solution :

For parallel lines, \[\frac{{{a}_{1}}}{{{a}_{2}}}=\frac{{{b}_{1}}}{{{b}_{2}}}\ne \frac{{{c}_{1}}}{{{c}_{2}}}\]

The equation given at [d], namely, \[15x-10y=45,\] as it satisfies the above relation.

So, option [d] is correct.