Find the equation of the common tangent in 1st quadrant to the circle and the ellipse

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Find the equation of the common tangent in 1st quadrant to the circle

x^2 + y^2 = 16

and the ellipse

\frac{x^2}{25} + \frac{y^2}{4} = 1

. Also find the length of the intercept of the tangent between the coordinate axes.