The minimum area of the triangle formed by the tangent to the ellipse x2a2+y2b2=1 and the coordinate axes is

Equation of the tangent at P(θ) to the given ellipse is xacosθ+ybsinθ=1 ∴Area of the triangle formed by it with coordinate axis =ab2sinθcosθ=absin2θ≥ab∴minimun area=ab