Question

Which which of the following variables is quadratic in nature?
1) XY
2) 2X
3) All of these
4) y+2​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which which of the following variables is quadratic in nature

1) XY

2) 2X

3) All of these

4) Y + 2

CONCEPT TO BE IMPLEMENTED

Polynomial :

Polynomial is a mathematical expression consisting of variables, constants that can be combined using mathematical operations addition, subtraction, multiplication and whole number exponentiation of variables

Degree of a Polynomial :

Degree of a polynomial is defined as the highest power of its variable that appears with nonzero coefficient

When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term.

EVALUATION

CHECKING FOR OPTION : 1

Here the given polynomial = XY

The variables are X and Y

Exponent of X = 1

Exponent of Y = 1

So the degree by adding the exponents of each variable in each term

Degree of the polynomial

= 1 + 1

= 2

So the polynomial is quadratic

So this option is correct

CHECKING FOR OPTION : 2

Here the given polynomial = 2X

Variable is X

The highest power of its variable that appears with nonzero coefficient = 1

Degree of the polynomial = 1

So the polynomial is not quadratic

So this option is not correct

CHECKING FOR OPTION : 4

Here the given polynomial = Y + 2

Variable is Y

The highest power of its variable that appears with nonzero coefficient = 1

Degree of the polynomial = 1

So the polynomial is not quadratic

So this option is not correct

FINAL ANSWER

Hence the correct option is 1) XY

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