Question

Assertion (A): The curve $y=x^2-6x+9$ touches the x-axis.

Reason (R): $y=a{x}^2+bx+c$ touches the $x$-axis iff $\Delta =b^2-4ac$ $=0$

• A. Both $A$ and $R$ are true and $R$ is the correct explanation of $A$ .
• B. Both A and $R$ are true and $R$ is not the correct explanation of $A$ .
• C. $A$ is true but $R$ is false .
• D. $A$ is false but $R$ is true .

Answer 1

The correct option is A Both $A$ and $R$ are true and $R$ is the correct explanation of $A$ .

$x^2-6x+9$
$D=0$
$\therefore$It touches x-axis.
If $y=a{x}^2+bx+c$ touches x-axis if $D=0$
$b^2-4ac=0$