Statement A (Assertion) : 4 x+3 y=12 is a line which is parallel … - Vidyadip

MCQ

Statement $A ($Assertion$) : 4 x+3 y=12$ is a line which is parallel to $8 x+6 y=48$.
Statement $R ($Reason$)$: The graph of linear equation $a x=b$, where $a \neq 0$ is parallel to $x$-axis.

A
$(a)$ 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 and reason $(R)$ is not the correct explanation of assertion $(A).$
✓
Assertion $(A)$ is true but reason $(R)$ is false.
D
Assertion $(A)$ is false but reason $(R)$ is true.

✓

Answer

Correct option: C.

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

The given system of linear equations is
$4 x+3 y=12\ldots(i)$
$8 x+6 y=48\ldots(ii)$
As $\frac{4}{8}=\frac{3}{6} \neq \frac{12}{48}$
Hence, the given lines are parallel to each other.
Now, $a x=b $
$\Rightarrow x=\frac{b}{a}$, which represents a line parallel to $y-$axis.
So, Assertion is true but Reason is false.

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