Assertion (A): If the graph of a polynomial touches $x$-axis at only one point, then the polynomial

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 atmost $n$ zeroes.\

Professor PC Thomas Classes · Answer

(d) : Assertion is false, as if the graph of a polynomial touches $x$-axis at only one point, then the polynomial can be a quadratic polynomial having real and equal roots. Clearly, Reason is true.\