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Previous year question hub

Calculus - Engineering Mathematics - Electronics & Communication Engineering Previous Year Questions

Practice Calculus - Engineering Mathematics - Electronics & Communication Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

30Papers
19Years
92Questions
1Topics

Calculus question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 69 75%
Medium 23 25%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 72 78.3%
Numerical Answer Type (NAT) 15 16.3%
Fill in the blanks 3 3.3%
MSQ 2 2.2%

Subject weightage

Top subjects by unique question coverage.

Electronics & Communication Engineering
92 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
92 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Calculus
92 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Electronics and Communication Engineering (EC) 2026
2 Qs
Electronics & Communication Engineering (EC) 2025
3 Qs
Electronics & Communication Engineering (EC) 2024
1 Qs
Electronics & Communication Engineering (EC) 2023
1 Qs
Electronics & Communication Engineering (EC) 2022
3 Qs
Electronics & Communication Engineering (EC) 2020
1 Qs
Electronics & Communication Engineering (EC) 2019
2 Qs
Electronics & Communication Engineering (EC) 2018
4 Qs
Electronics & Communication Engineering (EC) 2017
4 Qs
Electronics & Communication Engineering (EC) 2017 [Session 1]
4 Qs
Electronics & Communication Engineering (EC) 2017 [Session 2]
2 Qs
Electronics & Communication Engineering (EC) 2016 [Session 1]
5 Qs
Electronics & Communication Engineering (EC) 2016 [Session 2]
2 Qs
Electronics & Communication Engineering (EC) 2016 [Session 3]
2 Qs
Electronics & Communication Engineering (EC) 2015 [Session 1]
1 Qs
Electronics & Communication Engineering (EC) 2015 [Session 3]
1 Qs
Electronics & Communication Engineering (EC) 2014 [Session 4]
3 Qs
Electronics & Communication Engineering (EC) 2014 [Session 1]
2 Qs
Electronics & Communication Engineering (EC) 2014 [Session 2]
2 Qs
Electronics & Communication Engineering (EC) 2014 [Session 3]
2 Qs
Electronics & Communication Engineering (EC) 2013 [Session 1]
6 Qs
Electronics & Communication Engineering (EC) 2013 [Session 2]
6 Qs
Electronics & Communication Engineering (EC) 2013 [Session 3]
6 Qs
Electronics & Communication Engineering (EC) 2013 [Session 4]
6 Qs
Electronics & Communication Engineering (EC) 2012
2 Qs
Electronics & Communication Engineering (EC) 2011
4 Qs
Electronics & Communication Engineering (EC) 2010
2 Qs
Electronics & Communication Engineering (EC) 2009
1 Qs
Electronics & Communication Engineering (EC) 2008
5 Qs
Electronics & Communication Engineering (EC) 2007
7 Qs

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Electronics and Communication Engineering (EC) 20262026
2 questions in this view
2026
Electronics & Communication Engineering (EC) 20252025
3 questions in this view
2025
Electronics & Communication Engineering (EC) 20242024
1 questions in this view
2024
Electronics & Communication Engineering (EC) 20232023
1 questions in this view
2023
Electronics & Communication Engineering (EC) 20222022
3 questions in this view
2022
Electronics & Communication Engineering (EC) 20202020
1 questions in this view
2020
Electronics & Communication Engineering (EC) 20192019
2 questions in this view
2019
Electronics & Communication Engineering (EC) 20182018
4 questions in this view
2018
Electronics & Communication Engineering (EC) 20172017
4 questions in this view
2017
Electronics & Communication Engineering (EC) 2017 [Session 1]2017
4 questions in this view
2017
Electronics & Communication Engineering (EC) 2017 [Session 2]2017
2 questions in this view
2017
Electronics & Communication Engineering (EC) 2016 [Session 1]2016
5 questions in this view
2016
Electronics & Communication Engineering (EC) 2016 [Session 2]2016
2 questions in this view
2016
Electronics & Communication Engineering (EC) 2016 [Session 3]2016
2 questions in this view
2016
Electronics & Communication Engineering (EC) 2015 [Session 1]2015
1 questions in this view
2015
Electronics & Communication Engineering (EC) 2015 [Session 3]2015
1 questions in this view
2015
Electronics & Communication Engineering (EC) 2014 [Session 1]2014
2 questions in this view
2014
Electronics & Communication Engineering (EC) 2014 [Session 2]2014
2 questions in this view
2014
Electronics & Communication Engineering (EC) 2014 [Session 3]2014
2 questions in this view
2014
Electronics & Communication Engineering (EC) 2014 [Session 4]2014
3 questions in this view
2014
Electronics & Communication Engineering (EC) 2013 [Session 1]2013
6 questions in this view
2013
Electronics & Communication Engineering (EC) 2013 [Session 2]2013
6 questions in this view
2013
Electronics & Communication Engineering (EC) 2013 [Session 3]2013
6 questions in this view
2013
Electronics & Communication Engineering (EC) 2013 [Session 4]2013
6 questions in this view
2013
Electronics & Communication Engineering (EC) 20122012
2 questions in this view
2012
Electronics & Communication Engineering (EC) 20112011
4 questions in this view
2011
Electronics & Communication Engineering (EC) 20102010
2 questions in this view
2010
Electronics & Communication Engineering (EC) 20092009
1 questions in this view
2009
Electronics & Communication Engineering (EC) 20082008
5 questions in this view
2008
Electronics & Communication Engineering (EC) 20072007
7 questions in this view
2007

All Calculus previous year questions

Practice every matching question in batches of 20, with every available option.

1
2007 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2007
The following plot shows a function y which varies linearly with x. The value of the integral \(I = \int_{1}^{2} y \, dx\) is

Question diagram

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2
2007 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2007

For \(|x| \ll 1\), \(\coth(x)\) can be approximated as

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3
2007 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2007
\(\lim_{\theta \to 0} \frac{\sin(\theta/2)}{\theta}\) is
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4
2007 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2007

Which one of the following functions is strictly bounded?

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5
2007 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2007

For the function \(e^{-x}\), the linear approximation around \(x=2\) is

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6
2007 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2007
Consider the function f(x) = x² - x - 2. The maximum value of f(x) in the closed interval [-4, 4] is
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7
2007 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2007
The equation x³ - x² + 4x - 4 = 0 is to be solved using the Newton-Raphson method. If x = 2 is taken as the initial approximation of the solution, then the next approximation using this method will be
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8
2008 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2008
For real values of \(x\), the minimum value of the function \(f(x) = \exp(x) + \exp(-x)\) is
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9
2008 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2008
Which of the following functions would have only odd powers of \(x\) in its Taylor series expansion about the point \(x = 0\)?
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10
2008 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2008
The recursion relation to solve \(x = e^{-x}\) using Newton-Raphson method is
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11
2008 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2008
In the Taylor series expansion of \(\exp(x) + \sin(x)\) about the point \(x = \pi\), the coefficient of \((x-\pi)^2\) is
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12
2008 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2008
The value of the integral of the function \(g(x,y) = 4x^3 + 10y^4\) along the straight line segment from the point (0,0) to the point (1,2) in the \(x-y\) plane is
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13
2009 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2009
The Taylor series expansion of \(\frac{\sin x}{x - \pi}\) at \(x = \pi\) is given by
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14
2010 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2010
If \(e^x = x^{1/x}\), then y has a
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15
2010 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2010

If 137 + 276 = 435 how much is 731 + 672?

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16
2011 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2011
A numerical solution of the equation f(x) = x + √x - 3 = 0 can be obtained using Newton-Raphson method. If the starting value is x = 2 for the iteration, the value of x that is to be used in the next step is
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17
2011 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2011
Three friends, R, S and T shared toffee from a bowl. R took 1/3rd of the toffees, but returned four to the bowl. S took 1/4th of what was left but returned three toffees to the bowl. T took half of the remainder but returned two back into the bowl. If the bowl had 17 toffees left, how many toffees were originally there in the bowl?
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18
2011 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2011
Given that f(y) = | y | / y, and q is any non-zero real number, the value of | f(q) – f(-q) | is
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19
2011 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2011

The sum of n terms of the series 4+44+444+.... is

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20
2012 · Electronics & Communication Engineering · Engineering Mathematics · Calculus
Electronics & Communication Engineering (EC) 2012
The maximum value of \( f(x) = x^3 - 9x^2 + 24x + 5 \) in the interval \( [1, 6] \) is
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Showing 20 of 83 questions