Question

Assertion: The degree one polynomial equation $ax+by+c=0$ is called a linear equation.

Reason : The geometrical representation of a degree one polynomial, equation is straight line.

Which of the following is correct?

• A. Both A and R are true and R is not the correct explanation of A.
• B. Both A and R are true and R is the correct explanation of A.
• C. A is true and R is false.
• D. A is false and R is true.

Answer 1

The correct option is B

Both A and R are true and R is the correct explanation of A.

Explanation for the correct option:

Step 1. Checking the truth of the Assertion statement.

A degree one polynomial is a polynomial expression in which the highest power of the variables is $1$.

In the equation $ax+by+c=0$ , the highest power of both $x$ and $y$ is $1$.

Hence, the assertion is true.

Step 2. Checking the truth of the Reason statement.

A degree of one polynomial will have one variable $x$ and another variable $y$.

So, the graph of the equation will be a straight line cutting the x-axis and y-axis.

Hence, the reason is true.

Step 3. Checking Relation between Assertion and Reason

We can conclude that both assertion and reason are true and the reason is the correct explanation of the assertion statement, as one-degree linear equation is called linear equation and it does forms a straight line.

Hence, the correct option is B.