If the tangent at the point (4cosϕ,16√11sinϕ)to the ellipse 16x2+1 – InterviewSolution

1.	If the tangent at the point (4cosϕ,16√11sinϕ)to the ellipse 16x2+11y2=256 is also a tangent to the circle (x−1)2+y2=42 then the value of ϕ is
Answer» If the tangent at the point $(4 c o s ϕ, \frac{16}{\sqrt{11}} s i n ϕ)$ to the ellipse $16 x^{2} + 11 y^{2} = 256$ is also a tangent to the circle $(x - 1)^{2} + y^{2} = 4^{2}$ then the value of $ϕ$ is

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