Question

Assertion: The graph of the equation $3x+y=0$ is a line passing through the origin.

Reason: An equation of the form $ax+by+c=0,$ where$a,b,c$are real numbers is called a linear equation in $x\text{and}y.$

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 B

If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

Explanation for the correct option:

Step 1: Explanation For Assertion

Given equation $3x+y=0$

Substituting $x=0,y=0$

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

Thus the point $(0,0)$ satisfies the equation $3x+y=0$

Therefore, $3x+y=0$ is a line passing through the origin.

Hence assertion is true.

Step 2: Explanation For Assertion

We know that equation of the form $ax+by+c=0,$ is a linear equation in two variables.

A linear equation in two variables has infinitely many solutions.

Hence, the reason is true

Step 2: Checking the if Assertion and reason are related

Both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.

Hence, the correct answer is option B.