QJEEAdv05Mabde3: JEE Advanced 2005 Mathematics - Class 11 JEEAdv05Mabde3 Solution: Find the equation of the common tangent in quadrant to the…

Find the equation of the common tangent in ${1^{st}}$ quadrant to the circle ${x^2} + {y^2} = 16$ and the ellipse ${{{x^2}} \over {25}} + {{{y^2}} \over 4} = 1$ . Also find the length of the intercept of the tangent between the coordinate axes.