Neha Tyagi and Amit Rastogi Solutions for Chapter: Quadratic Equations, Exercise 2: Exercise

Every quadratic equation has exactly one root.

Every quadratic equation has atleast one real root.

Every quadratic equation has at least two roots.

Every quadratic equation has utmost two roots.

If the coefficient of $x^2$ and the constant term of a quadratic equation have opposite signs, then the quadratic equation has real roots.

If the coefficient of $x^2$ and the constant term have the same sign and if the coefficient of $x$ term is zero, then the quadratic equation has no real roots.

Is $0.2$ a root of the equation $x^2-0.4=0$? Justify your answer.

If $b=0,c<0$, is it true that the roots of $x^2+bx+c=0$ are numerically equal and opposite in sign? Justify your answer.