What is the equation of the latus rectum of the parabola ?
Explanation for correct option:
Finding the equation of latus rectum:
Given, equation of parabola is
Simplifying the given equation, we get
Adding both sides, to make L.H.S term a perfect square
This equation is of the form of parabola
we know that,
For the downward parabolas, the equation of latus rectum is
Comparing the equations , we get
Then , the equation of latus rectum,
Thus, the equation of latus rectum is .
Hence, option(C) is the correct answer.