If both the roots of the quadratic equation $a{x}^2+bx+c=0$ are zero, then

Q. If the roots of the quadratic equation $a{x}^2+bx+c=0$ are opposite in sign and positive root is greater in magnitude, then

Q. If the equation $a{x}^2+2bx+c=0$ and $a{x}^2+2cx+b=0,a\ne 0,b\ne c$, have a common root, then their other roots are the roots of the quadratic equation

Q. Let $a,b,c$ be real numbers such that $a+b+c<0$ and the quadratic equation $a{x}^2+bx+c=0$ has imaginary roots. Then

Q.

If $\alpha ,\beta$ are the roots of the equation $a{x}^2+bx+c=0$ such that $\beta <\alpha <0,$ then the quadratic equation whose roots are $|\alpha |,|\beta |$ is given by

Q. If the roots of the equation:$a{x}^2+bx+c=0,a>0$ be each greater than unity, then: