Question

Contrapositive for the statement: "$\text{If slope of a straight line is}1$, $\text{then it is equally inclined to both the axes}$" is:

• A. If a straight line is equally inclined to both the axes then its slope is $1$
• B. If a straight line is equally inclined to both the axes then its slope is not $1$
• C. If a straight line is not equally inclined to both the axes then its slope is not $1$
• D. If a straight line is not equally inclined to both the axes then its slope is $1$

Answer 1

The correct option is C If a straight line is not equally inclined to both the axes then its slope is not $1$

we know that, contrapositive of $p⟹q$ is $\sim q⟹\sim p$
Here $p:$ slope of straight line is $1$
$q:$ straight line is equally inclined to both the axes.

So contrapositive for given statement is
"If straight line is not equally inclined to both the axes then its slope is not $1.$"