Exercise–1

If $n_1$ and $n_2$ are two even integers and $k_1$ and $k_2$ are any two integers then,

Check $n_1+n_2$ is an even number or an odd number? Why?

If $a{x}^2+bx+c=0$ is a quadratic equation where $a, b, c$ belongs to the real number $a\ne 0$ then check $a{x}^2-bx+c=0$ is a quadratic equation or not. Give reason

If $a{x}^2+bx+c=0$ is a quadratic equation where $a, b, c$ belongs to the real number $a\ne 0$ then check $bx+c=0$ is a quadratic equation or not. Give reason

If $a{x}^2+bx+c=0$ is a quadratic equation where $a, b, c$ belongs to the real number $a\ne 0$ then check $a{x}^2+c=0$ is a quadratic equation or not. Give reason

If $a{x}^2+bx+c=0$ is a quadratic equation where $a, b, c$ belongs to the real number $a\ne 0$ then check $a{x}^2=0$ is a quadratic equation or not. Give reason

Definition of rational number $Q$ is given below:

$Q=\frac{p}{q}$, where $p, q \in I$ and $q\ne 0$

Write the definition of Rational Number in words.

Definition of rational number $Q$ is given below.

$Q=\frac{p}{q}$, where $p, q \in I$ and $q\ne 0$

Is $\frac{6}{0}$ a rational number?

Definition of rational number $Q$ is given below.

$Q=\frac{p}{q}$, where $p,q\in I$ and $q\ne 0$

If $\frac{p^2+7}{q^2-25}$ is a rational expression, then here $5$ and $-5$ cannot be the values of $q$ (Use definition)