Chowrasia, winner of two European Tour titles, had three birdies and two bogeys. Jeev's 72 included four birdies and an equal number of bogeys.
Austrian Bernd Wiesberger and Argentine Ricardo Gonzalez took advantage of perfect scoring conditions to share the lead after the opening round. Both players carded seven under par rounds of 65 over the Centenary Course, which will stage next year's Ryder Cup.
In-form Australian Brett Rumford, Spain's Ignacio Garrido, Thailand's Thongchai Jaidee and English trio Oliver Fisher, Ross Fisher and Mark Foster are one behind the leaders.
Italian Ryder Cup star Francesco Molinari opened with a three under 69, while defending champion Paul Lawrie birdied two of the last three holes to be a shot further back.