The correct options are
A Rishi Kapila - Sankhya Shastra
B Rishi Jaimini - Purva Mimansa
The first darshana Sankhya Shastra was explained by Rishi Kapila. The second Darshana is called Yoga, explained by Rishi Patanjali. Rishi Gautama explained another Darshana called Nyaya. Rishi Kanad explained the Vaisheshik philosophy; the fifth Darshana is called the Purva Mimansa, explained by Rishi Jaimini. The sixth darshana is called the Uttara Mimansa. It was explained by Rishi Vyasa.