VITEEE 2014 Paper

Equation of tangent at (a cos θ , b sin θ) to the ellipse is

x

a

cos θ +

y

b

sin θ = 1

Coordinates of P and Q are
(

a

cosθ

,0) and (0,

b

sinθ

) , respectively
Area of Δ OPQ =

1

2

|

a

cosθ

×

b

sinθ

| =

ab

|sin2θ|

∴ Minimum area = ab