Area bounded by parabola y²=4x with it’s latus rectum and Area bounded by parabola y²=-4x with it’s latus rectum will be same .

Just the region will be different graphically but area will be same in both of these cases

# Doubt from area

Question no 19 i am confused about parabola what type of parabola it will form below x axis or above x axis

I think you found out wrong points equation of parabola would be (x+1)^2=-1(y-4) so according to this parabola will pass through (-1,4)

See carefully The parabola which is drew is passing through -1,4

Ok what about area i think i should subtract the equation of parabola from equation of line and apply limits from 0 to 1 ?

You’ll have to do that and in addition to it add the area between the line and the x axis from 1 to point of int of that line with x axis

But got wrong answer which is not matching with any options i got 41/42 sq units

I am not satisfied with your working you put y function while integrating with respect to x

By mistake I have written dx instead of dy in 1 step.

I guess that was easily understandable

Rest all calculations are correct

Suppose these are two given curves i want to find the area of common region please tell which region will be common

Which parabola should i substract from other to find area

For finding the area of bounded region or the common area?

I got it