Question

Assertion: For all values of $k$, $\left(-\frac{3}{2},k\right)$ is a solution of the linear equation $2x+3=0$.

Reason: The linear equation $ax+b=0$ can be expressed as a linear equation in two variables as $ax+y+b=0$.

Now, choose the correct option.

• A. If both assertion and reason are true and reason is the correct explanation of assertion.
• B. If both assertion and reason are true but reason is not the correct explanation of assertion.
• C. If assertion is true but reason is false.
• D. If assertion is false but reason is true.

Answer 1

The correct option is C

If assertion is true but reason is false.

Explanation for the correct option:

Explanation for Assertion:

Assertion: For all values of $k$, $\left(-\frac{3}{2},k\right)$ solution of the linear equation $2x+3=0$.

The given point is $\left(-\frac{3}{2},k\right)$

for all values of $k$ the equation must be satisfied because the equation $2x+3=0$ is independent of $y$.

Hence for all values of $k$,$\left(-\frac{3}{2},k\right)$ is the solution of the linear equation $2x+3=0$.

So, the assertion is true.

Explanation for Reason:

The given linear equation equation $ax+b=0$, is one variable equation, while equation $ax+y+b=0$ is a two variable equation.

So the linear equation $ax+b=0$ can not be expressed as a linear equation in two variables as $ax+y+b=0$.

So the reason is incorrect.

Hence, the correct option is C