Question

ASSERTION:- x^2 +4x +5 has two real. Zeros .

REASON:- A quadratic polynomial can have at most two zeroes.

(A) Both assertion and reason are correct and reason is the correct explanations for solution

(B) Both assertion and reason are correct, but reason is not the correct explanation for assertion

(C) Assertion is correct, but reason is incorrect.

(D) assertion is incorrect but reason is correct.​

Answer 1

Answer:

Answer

Correct option is

A

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

Assertion

Consider the given polynomial

x

2

+4x+5

Because the degree of the polynomial is 2. It is a quadratic polynomial.

We know that the quadratic polynomial has at the most two zeroes..

∴x

2

+4x+5 has two zeroes.

∴ Assertion is true.

Reason

Clearly, Reason is true.

Since both the Assertion and Reason are true and Reason is a correct explanation of Assertion.

Therefore, the correct answer is A.

Answer 2

Given:

ASSERTION:- $\[{x^2} + 4x + 5\]$ has two real zeros .

REASON:- A quadratic polynomial can have at most two zeroes.

Solution:

Check whether ASSERTION is TRUE or not.

Observe that, the given expression has a degree of 2. therefore, It is a quadratic polynomial.

know that the quadratic polynomial has at the most two zeroes.

Therefore, $\[{x^2} + 4x + 5\]$ has two real zeros.

Hence, the ASSERTION is TRUE.

Check whether REASON is TRUE or not.

Know that, according to the property of Quadrilatic polynomial, A quadratic polynomial can have at most two zeroes.

Therefore, the REASON is TRUE.

Understand that, The ASSERTION is TRUE and REASON is true and the reason is the correct explanation for the given assertion.

Hence, the correct answer is option (A).