how to find focus of parabola in the question ;- Find the area bounded by the parabolay2= 16xand its latus - Maths - Application of Integrals

Question

how to find focus of parabola in the question ;-
Find the area bounded by the parabolay 2=
16x and its latus rectum

Anuradha Sharma · Accepted Answer

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The equation of latus rectum is x = aSo for y2=16x,  a =4So intersection point of x = 4 and y2=16x is, y = ±8So coordinate of L is 4,8
Now area of OSL is, =∫04ydx=∫044xdx=83×x3204=643Now using symmetry area of OSL' will be same so area of LOL' =2×643 =1283 square unit

how to find focus of parabola in the question ;-Find the area bounded by the parabolay 2= 16x and its latus rectum.

how to find focus of parabola in the question ;-
Find the area bounded by the parabolay ²= 16x and its latus rectum.