The slope of the line touching both the parabolas $y^2 = 4x$ and $x^2 =- 32y$ is

Question

$\begin{array}{1 1}(A)\;\large\frac{1}{2} \\ (B)\;\large\frac{3}{2} \\(C)\;\large\frac{1}{8} \\(D)\;\large\frac{2 }{3}\end{array} $

Answer 1

$\large\frac{1}{2}$ is correct answer.

Hence A is the correct answer.