Quadratic Equations Quiz 2

If $sin\,\alpha$, $cos\,\alpha$ are roots of the equation $ax^2+bx+c=0$, then ……

If $Px^2+qx+r=0$ has equal roots , then r = ……

If the equations $x^2+bx+c=0$, $x^2+cx+b=0$ $[b\neq c]$ have a common root, then ……

The roots of $x-\frac{3}{x}=2$ are

The roots of the quadratic equation $2x^2-2\sqrt{2}x+1=0$ are ……

If $\alpha,\beta$ are the roots of $x^2+2x+5=0$ then $\frac{\alpha}{\beta}+\frac{\beta}{\alpha}$ =

If the roots of $a(b-c)x^2+b(c-a)$ $x+c(a-b)$ = 0 are equal, then a, b, c are in

The roots of are $\frac{1}{x+4}-\frac{1}{x-7}=\frac{11}{30}$

If A is the solution set of $x^2-5x+6=0$ and B is the solution set of $x-\sqrt{3x-6}=2$, then A $\cap$ B =

If the sum of the squares of the roots of $x^2+px-3=0$ is 10, then p =