R. D. Sharma Solutions for Chapter: Quadratic Equations, Exercise 15: MULTIPLE CHOICE QUESTIONS (MCQs)

If the equation $a{x}^2+2x+a=0$ has two distinct roots, then

If $p$ and $q$ are the roots of the equation $x^2-px+q=0,$ then

If $(a^2+b^2)x^2+2(ac+bd)x+c^2+d^2=0$ has no real roots, then

If one of the root of the equation $2x^2+kx+4=0$ is $2$, then the other root is

If one of the roots of the equation $x^2+ax+3=0$ is $1$, then its other root is

If one root of the equation $4x^2-2x+(\lambda -4)=0$ be the reciprocal of the other, then $\lambda =$

If $y =1$ is a common root of the equations $a{y}^2+ay+3=0$ and $y^2+y+b=0$, then $ab$ equals

The values of $k$ for which the quadratic equation, $16x^2+4kx+9=0$ has real and equal roots.