Question

Assertion (A): If the graph of a polynomial touches x-axis at only one point, then the polynomial cannot be a quadratic polynomial.

Reason (R): A polynomial of degree n(n >1) can have at most n zeroes.

पर्याय

• Both, Assertion (A) and Reason (R) are true and Reason (R) is correct explanation of Assertion (A).

• Both, Assertion (A) and Reason (R) are true but Reason (R) is not correct explanation for Assertion (A).

• Assertion (A) is true but Reason (R) is false.

• Assertion (A) is false but Reason (R) is true.

Answer 1

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

Explanation:

The polynomials of the form (x + a)² and (x − a)² have only equal roots, and graphs of these polynomials cut the x-axis at only one point. These polynomials are quadratic. Thus, Assertion is true, and Reason is true.