=1......(i) where,a2=16,b2=9 ⇒‌‌a=4,b=3 ∴Equation of tangent to the ellipse (i) is ‌y=mx±√a2m2+b2 ⇒‌‌y=mx±√16m2+9 ⇒‌‌y−mx∓√16m2+9=0.......(ii) Given equation of circlex2+y2=α2 Centre=(0,0), radius=α Since, Eq. (ii) touches the given circle ∴‌α=|‌