The name of the Gurjara Pratihara king whose court was adorned by Raja Sekhar was Mahipala, a grandson of Bhuja.

Explanation:
The Gurjara Pratihara dynasty was a prominent Indian dynasty that ruled over a major part of North India from the 8th to the 11th century. They were known for their military prowess and patronage of art and culture.

Raja Sekhar, also known as Rajashekhara, was a renowned Sanskrit poet and playwright who lived during the 9th century. He was a court poet in the court of Mahipala, who was a ruler of the Gurjara Pratihara dynasty.

Mahipala, the grandson of Bhuja, was one of the prominent rulers of the Gurjara Pratihara dynasty. He ascended the throne around the mid-9th century and ruled for a significant period. During his reign, the Gurjara Pratihara dynasty reached its peak of power and prosperity.

Mahipala was known for his patronage of arts and literature, and he had a keen interest in promoting Sanskrit literature. He was a great admirer of Raja Sekhar's literary works and invited him to his court. Raja Sekhar's plays and poetry were highly esteemed and respected by Mahipala, who adorned his court with the presence of the talented poet.

Raja Sekhar's plays, such as "Karpuramanjari" and "Balaramayana," were performed in the court of Mahipala, and he received generous patronage and support from the king. Raja Sekhar's writings reflect the cultural and social aspects of the time, and his association with the Gurjara Pratihara court under Mahipala's reign further elevated his status as a renowned poet.

Overall, Mahipala, the Gurjara Pratihara king, had a deep admiration for Raja Sekhar's literary talent and invited him to his court, where the poet's works were highly valued and performed. This association between the king and the poet played a significant role in the promotion of Sanskrit literature during that period.