Directions: Each of these questions contains two statements: Assertion [A] and Reason [R]. Each of these questions also has four alternative choices, any one of which is the correct answer. You have to select one of the codes [a], [b], [c] and [d] given below. |
Assertion [A] \[{{x}^{2}}+4x+5\]has two zeroes. |
Reason [R] A quadratic polynomial can have atmost two zeroes. |
A) A is true, R is true; R is a correct explanation for A.
B) A is true, R is true; R is not a correct explanation for A.
C) A is true; R is False.
D) A is false; R is true.
Correct Answer: A
Solution :
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 atmost two zeroes |
\[\therefore \,\,{{x}^{2}}+4x+5\] has two zeroes |
\[\therefore\] Assertion is true |
Reason Clearly, Reason is true Hence, both Assertion and Reason are true and Reason is a correct explanation of Assertion |
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