The side AB of a triangle ABC is c. The median BD is of length k. If ∠BDA=θ<90°, then the area of triangle ABC isA2k2cos2θ+ksinθc2−k2cos2θB2k2sin2θ+ksinθc2−k2sin2θC4k2cosθ−ksinθc2+k2sin2θD4k2cos2θ+ksinθc2−k2sin2θ