Question

Let a, b and c are three distinct real positive numbers and n be the number of solution of the equation $a{x}^2-b|x|-c=0$. If $z_1\text{and}{z}_2$ be the complex numbers satisfying $|z-4i|=3$ and having least and greatest amplitudes respectively. Then the value of ${(|z_1{|}^2+|z_2{|}^2)}^{\frac{1}{n}}$

• A. $\sqrt{14}$
• B. $5\sqrt{2}$
• C. $\sqrt{10}$
• D. $\frac{5}{\sqrt{2}}$

Answer 1

The correct option is A $\sqrt{14}$

Consider the expression
$y=a{x}^2-bx-c;a,b,cϵR^{+}$