Question:
<p>If the circle x<sup>2</sup> + y<sup>2</sup> = k<sup><span style="font-size: 10.8333px;">2</span></sup> and the rectangular hyperbola xy = k have no points in common, then the number of integral values of k, is:</p>
<p style="display:inline">3</p>
<p style="display:inline">1</p>
<p style="display:inline">0</p>
<p style="display:inline">2</p>
Step-by-Step Solution
Key Concept: The curves have no points in common if the quadratic equation in $x^2$ formed by substituting $y=k/x$ into the circle's equation has no positive real roots.
<p>2</p>
Correct Answer: D