NCERT Class 12-Mathematics: Chapter –8 Application of Integrals Part 2

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Question 4:

Find the area of the region bounded by the parabolas and .

The intersecting points of the given parabolas are obtained by solving these equations for and , which are and . Hence

Question 5:

Find the area enclosed by the curve cost, .

Eliminating as follows:

which is the equation of an ellipse.

From Fig. 8.5, we get the required area

Question 6:

Find the area of the region included between the parabola and the line .

Solving the equations of the given curves we get

which give

From Fig.8.6, the required area area of ABC

Question 7:

Find the area of the region bounded by the curves and at between the ordinate corresponding to and .