My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
Previous year question hub

Vector Calculus - Engineering Sciences Previous Year Questions

Practice Vector Calculus - Engineering Sciences previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

15Papers
15Years
19Questions
1Topics

Vector Calculus question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Vector Calculus. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 12 63.2%
Easy 7 36.8%

Question type distribution

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

MCQ 10 52.6%
Numerical Answer Type (NAT) 9 47.4%

Subject weightage

Top subjects by unique question coverage.

Engineering Sciences
19 Qs

Most asked topics

Top topics across the included previous year papers.

Vector Calculus
19 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Vector Derivatives and Line Integrals
19 Qs

Paper coverage

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

Engineering Sciences (XE) 2026
1 Qs
Engineering Sciences (XE) 2025
1 Qs
Engineering Sciences (XE) 2024
1 Qs
Engineering Sciences (XE) 2023
2 Qs
Engineering Sciences (XE) 2022
1 Qs
Engineering Sciences (XE) 2021
3 Qs
Engineering Sciences (XE) 2020
1 Qs
Engineering Sciences (XE) 2019
1 Qs
Engineering Sciences (XE) 2018
1 Qs
Engineering Sciences (XE) 2017
1 Qs
Engineering Sciences (XE) 2016
1 Qs
Engineering Sciences (XE) 2015
1 Qs
Engineering Sciences (XE) 2014
1 Qs
Engineering Sciences (XE) 2013
1 Qs
Engineering Sciences (XE) 2012
2 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Vector Derivatives and Line Integrals

Explore previous-paper coverage, trends and focused practice for Vector Derivatives and Line Integrals.

19 questions15 papers15 years

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Engineering Sciences (XE) 202620261View paper
Engineering Sciences (XE) 202520251View paper
Engineering Sciences (XE) 202420241View paper
Engineering Sciences (XE) 202320232View paper
Engineering Sciences (XE) 202220221View paper
Engineering Sciences (XE) 202120213View paper
Engineering Sciences (XE) 202020201View paper
Engineering Sciences (XE) 201920191View paper
Engineering Sciences (XE) 201820181View paper
Engineering Sciences (XE) 201720171View paper
Engineering Sciences (XE) 201620161View paper
Engineering Sciences (XE) 201520151View paper
Engineering Sciences (XE) 201420141View paper
Engineering Sciences (XE) 201320131View paper
Engineering Sciences (XE) 201220122View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2012 · Engineering Sciences · Vector Calculus · Vector Derivatives and Line Integrals
Engineering Sciences (XE) 2012
For \( f = x^4 - 5xy^2 \), the direction of maximum increase of \( f(x,y) \) at the point \( (2,2) \) is along
Open complete paper
2
2013 · Engineering Sciences · Vector Calculus · Vector Derivatives and Line Integrals
Engineering Sciences (XE) 2013
The work done by the force \(\vec{F}=(x+x^{2}) \hat{i}+(x^{2}+y^{3}) \hat{j}\) in moving a particle once along the triangle with vertices (0,0),(1,0) and (0,1) in the anti-clockwise direction is
Open complete paper
3
2014 · Engineering Sciences · Vector Calculus · Vector Derivatives and Line Integrals
Engineering Sciences (XE) 2014
If the work done in moving a particle once around a circle $x^2 + y^2 = 4$ under the force field $\vec{F}(x,y) = (2x - ay) \hat{i} + (2y + ax) \hat{j}$ is $16\pi$, then $|a|$ is equal to ______.
Open complete paper
4
2015 · Engineering Sciences · Vector Calculus · Vector Derivatives and Line Integrals
Engineering Sciences (XE) 2015
The divergence of a vector field \(\vec{v}(x, y, z) = 2x^2 \hat{i} + 2y^2 \hat{j} + 2z^2 \hat{k}\) at a point \((1,1,1)\) is
Open complete paper
5
2016 · Engineering Sciences · Vector Calculus · Vector Derivatives and Line Integrals
Engineering Sciences (XE) 2016
The value of the surface integral \( \iint_{\Gamma} \vec{F} \cdot \mathbf{n} \, dS \) over the sphere \( \Gamma \) given by \( x^2 + y^2 + z^2 = 1 \), where \( \vec{F} = 4x \hat{i} - z \hat{k} \), and \( \mathbf{n} \) denotes the outward unit normal, is
Open complete paper
6
2017 · Engineering Sciences · Vector Calculus · Vector Derivatives and Line Integrals
Engineering Sciences (XE) 2017
Let $C$ be a simple smooth closed curve enclosing the region $R$ in the $xy$-plane. Let $C$ be oriented counterclockwise. If the value of the integral \(\oint_{C} (y + e^{\sqrt{x}}) dx + (3x + \cos y) dy\) is 16, then the area of $R$ is ________.
Open complete paper