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

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

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

The roots of $x-\frac{3}{x}=2x-\backslash frac\{3\}\{x\}=2$ are

The roots of the quadratic equation $2x^2-2\sqrt{2}x+1=02x^2-2\backslash sqrt\{2\}x+1=0$ are ……

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

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

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

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

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