question_answer

Assertion (A): \[\text{4x}+\text{3y}=\text{12}\]is a line which is parallel to \[\text{8x}+\text{6y}=\text{48}\]

Reason (R): The graph of linear equation \[\text{ax}=\text{b},\]where \[a\ne 0\] is parallel to x-axis.

A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).

B) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).

C) Assertion (A) is true but reason (R) is false.

D) Assertion (A) is false but reason (R) is true.

Correct Answer: C

Solution :

[c] Table for equation \[4x+3y=12\]is

x 3 0 y 0 4 Table for the equation \[8x+6y=48\] is

x 6 0 y 0 8 The graphical representation of the given pair of linear equations is as follows:

Hence, the given lines are parallel to each other.

Now,          \[ax=b\]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x=\frac{b}{a},\]

which represents a line parallel to Y-axis.

So, Assertion: True; Reason: False.