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

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

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