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KEAM
Mathematics
Types of vectors

Study Guide

Study Guide

Biology Chemistry Mathematics Physics

Magnitude And Directions Of A Vector 59

Trigonometry 45

Sequence And Series 42

Complex Numbers 36

Coordinate Geometry 36

Straight Lines 24

Permutations And Combinations 22

Trigonometric Functions 20

Vector Algebra 20

Differential Equations 18

Continuity And Differentiability 17

Differential Calculus 17

Geometric Progression 17

Integral Calculus 15

Sections Of A Cone 15

Three Dimensional Geometry 15

Inverse Trigonometric Functions 14

Definite Integral 13

Introduction To Three Dimensional Geometry 12

Complex Numbers And Quadratic Equations 11

Limit And Continuity 11

Limits And Derivatives 11

Combinatorics 10

Types Of Functions 10

Variance And Standard Deviation 10

Vector Basics 10

Arithmetic Progression 9

Product Of Two Vectors 9

Binomial Theorem 8

Conic Sections 8

Linear Inequalities In One Variable 8

Linear Programming Problem 8

Properties Of Determinants 8

Trigonometric Identities 8

Application Of Derivatives 7

Equation Of A Line In Space 7

Measures Of Dispersion 7

Relations And Functions 7

General And Middle Terms 6

Linear Inequalities 6

Various Forms Of The Equation Of A Line 6

Increasing And Decreasing Functions 5

Logarithmic Differentiation 5

Mathematical Reasoning 5

Quadratic Equations 5

Types Of Matrices 5

Limits Of Trigonometric Functions 4

Matrix Operations 4

Maxima And Minima 4

Trigonometric Equations 4

X Intercepts And Y Intercepts 4

Applications Of Integrals 3

Area Under Simple Curves 3

Composite Of Functions 3

Coordinates Of A Point In Space 3

Linear Programming 3

Mean Deviation 3

Rate Of Change Of Quantities 3

Slope Of A Line 3

Types Of Relations 3

Angle Between Two Lines 2

Bayes Theorem 2

Binary Operations 2

Binomial Distribution 2

Cartesian Products Of Sets 2

Conjugate Of A Complex Number 2

Coplanarity Of Two Lines 2

Independent Events 2

Integration By Parts 2

Lpp Graphical Method 2

Methods Of Integration 2

Multiplication Theorem On Probability 2

Second Order Derivative 2

Solution Of System Of Linear Inequalities In Two Variables 2

Tangents And Normals 2

Addition Of Vectors 1

Angle Between A Line And A Plane 1

Applications Of Derivatives 1

Axiomatic Approach To Probability 1

Complement Of A Set 1

Differentiability 1

Distance Between Two Lines 1

Distance Between Two Points 1

Fundamental Principle Of Counting 1

Graphical Solution Of Linear Inequalities In Two Variables 1

Homogeneous Differential Equation 1

Integrals Of Some Particular Functions 1

Invertible Matrices 1

Linear Algebra 1

Mean Value Theorem 1

Measurement Of Angles 1

New Statements From Old 1

Properties Of Inverse Trigonometric Functions 1

Random Variables 1

Relationship Between A M And G M 1

Section Formula 1

Special Words Phrases 1

System Of Linear Equations 1

Types Of Sets 1

Types Of Vectors 1

Validating Statements 1

Venn Diagrams 1

KEAM SERIES

Mathematics

Types Of Vectors

1 previous year questions.

Volume: 1 Ques

Yield: Medium

High-Yield Trend

1

2026

Chapter Questions
1 MCQs

01

PYQ 2026

medium

mathematics ID: keam-202

If then

Official Solution

Correct Option: (1)

Step 1: Differentiate . First, rewrite . Now, differentiate with respect to : Step 2: Find the second derivative. Differentiate again: Thus, the second derivative is:

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