Assertion (A): 2x²

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Q.
Assertion (A): $2 x ² - 4 x + 3 = 0$ is a quadratic equation.

Reason (R): All polynomials of degree n, when n is a whole number, can be treated as quadratic equations.

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

2 Both A and R are true, but R is not the correct explanation of A

3 A is true, but R is false

4 A is false, but R is true

Ans.
(3)

Yes, $2 x ² - 4 x + 3 = 0$ is a quadratic equation because the degree of the equation is 2. However, not all polynomials of degree n can be treated as quadratic equations.

If n = 1, the equation is called a linear equation, and if n = 3, it is called a cubic equation.

Therefore, Assertion (A) is true but Reason (R) is false.

Solution

Q.
Assertion (A): $2 x ² - 4 x + 3 = 0$ is a quadratic equation.

Reason (R): All polynomials of degree n, when n is a whole number, can be treated as quadratic equations.

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

2 Both A and R are true, but R is not the correct explanation of A

3 A is true, but R is false

4 A is false, but R is true

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Solution

Q. Assertion (A): 2x² – 4x + 3 = 0 is a quadratic equation. Reason (R): All polynomials of degree n, when n is a whole number, can be treated as quadratic equations.

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

2 Both A and R are true, but R is not the correct explanation of A

3 A is true, but R is false

4 A is false, but R is true

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Q.
Assertion (A): $2 x ² - 4 x + 3 = 0$ is a quadratic equation.

Reason (R): All polynomials of degree n, when n is a whole number, can be treated as quadratic equations.