Question: If the line y = $\sqrt{3}$x + k touches the circle x<sup>2</sup> + y<sup>2</sup> = 16, then k =...

Question

If the line y = $\sqrt{3}$ x + k touches the circle x² + y² = 16, then k =

Answer 1

line y = $\sqrt{3}$ x + k touches the circle

x² + y² = 16 ̃ \ p = r ̃ $|k/\sqrt{3 + 1}|$ = 4 ̃k = 8

Question: If the line y = \(\sqrt{3}\)x + k touches the circle x<sup>2</sup> + y<sup>2</sup> = 16, then k =...