Mathematics · JEE

Determining areas of the regions bounded by simple curves in standard forms Mock Test for JEE

8+ syllabus-aligned questions available

Quick answer

A Determining areas of the regions bounded by simple curves in standard forms JEE mock test on Goodmarks lets you attempt 8+ timed MCQs with instant feedback. Use it to benchmark speed, accuracy, and readiness for JEE Main Mathematics.

Simulate exam conditions with a Determining areas of the regions bounded by simple curves in standard forms mock test. Attempt 8+ timed MCQs, check your score instantly, and review every solution to close gaps before the real exam.

Syllabus context

Part of Integral Calculus in JEE Main Mathematics.

Free sample questions

Attempt 8 free MCQs for Determining areas of the regions bounded by simple curves in standard forms. Unlock the full bank with Pro.

Unlock full bank

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

Want unlimited Determining areas of the regions bounded by simple curves in standard forms practice?

Pro unlocks the full question bank, topic filters, and attempt history.

Get started free View Pro plans

Frequently asked questions

How long should a Determining areas of the regions bounded by simple curves in standard forms mock test take?

For a topic-level test, aim for 20–30 minutes. For a full subject mock, allow 60–90 minutes to mirror JEE timing.

What is a good score on a Determining areas of the regions bounded by simple curves in standard forms mock test?

Aim for 70%+ accuracy initially, then push toward 85%+ as your exam date approaches. Review explanations for every wrong answer.

Does Goodmarks score mock tests automatically?

Yes. Each MCQ is scored instantly with the correct answer and explanation shown after submission.

Can I retake the same mock test?

Pro users can generate new question sets by topic. Reattempting the same questions after a gap is excellent for retention.