Mathematics · JEE

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

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Sharpen your mathematics preparation with interactive online practice for Determining areas of the regions bounded by simple curves in standard forms. Goodmarks offers 8+ JEE-style MCQs mapped to the official syllabus, each with detailed explanations so you learn from every attempt.

Syllabus context

Part of Integral Calculus in JEE Main Mathematics.

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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})

Q8MathsUnit 8: Integral Calculus

A sphere of radius

3 \mathrm{cm}

is dropped into a cylindrical vessel of radius

4 \mathrm{cm}

. If the sphere is submerged completely, then the height (in cm) to which the water rises, is

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How do I practice Determining areas of the regions bounded by simple curves in standard forms online for JEE?

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Goodmarks currently has 8+ JEE-aligned MCQs for Determining areas of the regions bounded by simple curves in standard forms, with more added regularly.

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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