M L Aggarwal Solutions for Chapter: Quadratic Equations, Exercise 6: Objective Questions

State whether the following statement is true or false, justify your answer.

Every quadratic equation has exactly one root.

Every quadratic equation has at least one root.

State whether the following statement is true or false. Justify your answer

If in a quadratic equation the coefficient of $x$ is zero, then it has no real roots

State whether the following statement is true or false. Justify your answer

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

Which of the following is not a quadratic equation?

Which of the following is a quadratic equation?

Which of the following equations has $2$ as a root?

If $\frac{1}{2}$ is a root of the quadratic equation $4x^2-4kx+k+5=0$, then the value of $k$ is