Q4 of 123 Page 21

Find the area of the region bounded by x2 + 16y = 0 and its latus rectum.


This is a simple problem of the area under the two curves.


Step 1: Find the latus rectum and its intersection points with the parabola.


As following the above questions procedure:


We find the equation of latus rectum as



And the intersection points:



Step 2: Integrating the expression to find the area enclosed by the curves.




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