Question

A common tangent to $9x^2-16y^2=144$ and $x^2+y^2=9$ is

• A. $y=\frac{2}{\sqrt{7}}x+\frac{15}{\sqrt{7}}$
• B. $y=3\sqrt{\frac{2}{7}x}+\frac{15}{\sqrt{7}}$
• C. $y=\sqrt{\frac{3}{7}x}+15\sqrt{7}$
• D. none of these

Answer 1

The correct option is B $y=3\sqrt{\frac{2}{7}x}+\frac{15}{\sqrt{7}}$

Hence, Option (B) is the correct answer.