In what way did 'Rembrandt' engage with Mughal art in his studies of Indian drawings?

Mastering delicate lines

Answer:  Mastering delicate lines
Rembrandt engaged with Mughal art by making studies of Indian drawings to master the delicate lines characteristic of Mughal painting.

The Mughal School of Painting, which had embraced and presented the exuberating blend of the leading art traditions of its contemporary world, began to inspire the European artists of that time. Rembrandt, a celebrated European painter, was deeply inspired by the Mughal court painting and made studies of several Indian drawings to master the delicate lines. His studies show the celebrated position that the Mughal miniature painting occupied in the world art scene.