Q. 225.0( 1 Vote )

Using integration

Answer :

Given Data:

Parabolic Curve 4y = x2

Equation of lines: x =2y and x = 3y–3


Now differentiating the curve 4y = x2 w.r.t x

At point (2, 1),

Equation of a tangent passing through (2, 1)

y = x – 1

Plot of all the equations are given in figure

The area bound by the three lines can be found as

A = 1 square units

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