UPSC NDA Math Model Paper 2

Given: Equation of parabola is 3x2=8y
The given equation can be re-written as: x2=4.(2∕3)y .........(1)
Now by comparing the equation (1), with x2=4 ay we get
⇒ a = 2/3
As we know that, focus of the parabola of the form x2=4 ay is given by: (0,a)
So, the focus of the given parabola is (0, 2/3)
Hence, option B is the correct answer.