Assertion (A): The polynomial $p(x) = x^2 + 3x + 3$ has two real zeroes.
Reason (R): A quadratic polynomial can have at most two real zeroes.
(a) Both Assertion (A) and Reason (R) are true and Reason

Question

Assertion (A): The polynomial $p(x) = x^2 + 3x + 3$ has two real zeroes.
Reason (R): A quadratic polynomial can have at most two real zeroes.
(a) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
(b) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
(c) Assertion (A) is true, but Reason (R) is false.
(d) Assertion (A) is false, but Reason (R) is true.

Accepted Answer

Step 1: For $p(x) = x^2 + 3x + 3$: discriminant $= 9 - 12 = -3 < 0$, so no real zeroes. A is false. R is true (a quadratic has at most 2 real zeroes).

Question

Solution