Question

Assertion: The point $(0,3)$ lies on the graph of the linear equation $3x+4y=12$ .

Reason: $(0,3)$ satisfies the equation $3x+4y=12$.

Now, choose the correct option.

• A. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
• B. If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
• C. If Assertion is correct but Reason is incorrect.
• D. If Assertion is incorrect but Reason is correct.

Answer 1

The correct option is A

If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

Explanation for the correct option:

Step 1: Finding if Assertion and reason are true

In the given equation, $3x+4y=12$, $x,y$ are variables.

And the point $\left(0,3\right)$ lies on the graph of this linear equation.

So, substituting $x=0$ and $y=3$ in this equation, we get

$$\begin{gathered} \Rightarrow RHS=12 \\ \Rightarrow LHS=3\left(0\right)+4\left(3\right)=12 \\ \Rightarrow LHS=RHS \end{gathered}$$

The point $\left(0,3\right)$ satisfies the equation $3x+4y=12$ and hence the point $\left(0,3\right)$ lies on the line.

Therefore, the reason and assertion are true.

Step 2: Finding if assertion and reason are related

Therefore, we can conclude that both Assertion and Reason are correct and Reason is the correct explanation of Assertion.

Hence the correct answer is option A.