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JEE • MATHEMATICS • ERRORS & APPROXIMATION

Errors & approximation practice · Easy

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

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1 Easy

1 of 9

Application +4 | -1

In a

\triangle A B

Cif sides a and b remain constant such that

\alpha

is the error in

C

, then relative error in its area, is

View answer and explanation

Correct option: A

\alpha \cot C

Option A (

\alpha \cot C

) is correct because it represents the relative error in the area of the triangle.

2 Easy

2 of 9

Application +4 | -1

If the percentage error in measuring the surface area of a sphere is

\alpha \%

, then the error in its volume, is

View answer and explanation

Correct option: A

\frac{3}{2} \alpha \%

Option A (

\frac{{3}}{{2}} \alpha %

) is correct because the error in volume is 3/2 times the error in surface area.

3 Easy

3 of 9

Application +4 | -1

The melting point of ice is

0^\circ C

at 1 atm at what pressure it will be

- 1^\circ C

View answer and explanation

Correct option: B

133 atm

Option B (133 atm) is correct because it uses the Clausius-Clapeyron equation to relate pressure and temperature change during phase transition.

4 Easy

4 of 9

Application +4 | -1

The approximate value of

\cos 31^{\circ}

View answer and explanation

Correct option: B

0.851

Option B (0.851) is correct because it is the approximate value of

\cos 31^{\circ}

calculated using the derivative of the cosine function near

\cos 30^{\circ}

5 Easy

5 of 9

Remembering +4 | -1

An approximate value of

\cos 40^{\circ}

View answer and explanation

Correct option: A

0.7688

Option A (0.7688) is the closest approximate value of cos 40° using differentials.

6 Easy

6 of 9

Application +4 | -1

The focal length of a mirror is given by

\frac{1}{v}-\frac{1}{u}=\frac{2}{f}

. If equal errors are made in measuring

u

and

v

, then the relative error in

f

, is

View answer and explanation

Correct option: B

\alpha\left(\frac{1}{u}+\frac{1}{v}\right)

Option B (

\alpha\left(\frac{{1}}{{u}} + \frac{{1}}{{v}}\right)

) is correct because it represents the relative error in f calculated using differentials.

7 Easy

7 of 9

Application +4 | -1

The circumference of a circle is measured as

56 \mathrm{~cm}

with an error

0.02 \mathrm{~cm}

. The percentage error in its area, is

View answer and explanation

Correct option: C

\frac{1}{14}

Option C (

\frac{{1}}{{14}}

) is correct because it represents the percentage error in the area of the circle, calculated using differentials.

8 Easy

8 of 9

Application +4 | -1

y = {x^n},

then the ratio of relative errors in

y

and

x

View answer and explanation

Correct option: D

n:1

Option D (

n:1

) is correct because the relative error in

y

n

times the relative error in

x

, as derived from logarithmic differentiation.

9 Easy

9 of 9

Application +4 | -1

A circular metal plate expands under heating so that its radius increases by

2 \%

. The approximate increase in the area of the plate if the radius of the plate before heating is

10 \mathrm{~cm}

, is

View answer and explanation

Correct option: D

4 \pi

Option D (

4 \pi

) is correct because it represents the approximate increase in the area of the plate calculated using differentials.

Revision notes and key takeaways

Review ERRORS & APPROXIMATION in your textbook or class notes, then use this set to check your understanding.

Key Takeaways

✓ This set contains 9 single-correct-answer MCQs on ERRORS & APPROXIMATION.
✓ Try each question before opening its answer. Read the explanation where one is available.
✓ Sign in to save submitted answers. Revisit incorrect answers alongside your textbook or class notes.

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