Mathematics · JEE

Online Practice: Determining areas of the regions bounded by simple curves in standard forms for JEE

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Q1MathsUnit 8: Integral Calculus

Three solid cubes of sides

1 \mathrm{cm}, 6 \mathrm{cm}

and

8 \mathrm{cm}

respectively are melted to form a new cube. Find the surface area of the cube so formed.

Q2MathsUnit 8: Integral Calculus

Draw the graph of straight line

y=

-2 x+3 .

Use your graph to find the area between the line and co-ordinate axes.

Q3MathsUnit 8: Integral Calculus

It cost Rs 4020 to paint the inner curved surface area of hemisphere of radius 8

m

. If it is painted at rate of Rs. 10 per

m^{2}

. Find inner curved surface.

Q4MathsUnit 8: Integral Calculus

Determine the area of the shaded segment

Q5MathsUnit 8: Integral Calculus

The area of the region bounded by the curve

\boldsymbol{y}=\boldsymbol{x}^{2}+\mathbf{1}

and

\boldsymbol{y}=\mathbf{2} \boldsymbol{x}-\mathbf{2}

between

x=-1

and

x=2

is:

Q6MathsUnit 8: Integral Calculus

The volume of the global hemisphere is

19404 i n^{3} .

Find its diameter.

Q7MathsUnit 8: Integral Calculus

The area bounded by the

x-

axis, the curve

y=f(x)

and the lines

x=1

and

x=b

is equal to

(\sqrt{b^{2}+1}-\sqrt{2})

for all

\boldsymbol{b}>1,

then

\boldsymbol{f}(\boldsymbol{x})

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Is this aligned with the JEE Main syllabus?

Yes. All Mathematics questions on Goodmarks are organised by official JEE Main units and subtopics, including Determining areas of the regions bounded by simple curves in standard forms.

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