How many of the following values of $x$ would satisfy the equation $q{x}^2-2px+q=0$?

$1$. $x=\frac{\sqrt{p+q}+\sqrt{p-q}}{\sqrt{p+q-\sqrt{p-q}}}$, where $p>q$

$2$. $x=\frac{p+\sqrt{p^2-q^2}}{q}$, where $p>q$

$3$. $x=\frac{\sqrt{p+q}}{\sqrt{p-q}}$, where $p>q$

Select the correct answer using the code given below:

The value of discriminant of quadratic equation $x^2-2x+1=0$ will be:

For how many different values of $a$ does the following system have at least two distinct solutions?

$ax+y=0$

$x+\left(a+10\right) y=0$

The sum of the roots of the equation, $x+1-2{\log }_2\left(3+2^x\right)+2{\log }_4\left(10-2^{-x}\right)=0,$ is :

The factors of equation $x^2+7x+12=0$  are-

(A) -3 and -4 

(B) 3 and -4 

(C) -3 and 4 

(D) 3 and 4