# 1316 Questions on JEE (Based on NTA Guidelines-IIT Engg.) Mains Mathematics with Detailed Explanations and Solutions

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We have a total of **1316** Questions available on JEE (Based on NTA Guidelines-IIT Engg.) Mains Mathematics. You can choose a topic or subtopic below or **view all Questions**. Numbers in brackets indicate the number of Questions available on that topic.

## Complex Numbers and Quadratic Equations (66)

- Complex Numbers as Ordered Pairs of Reals (9)
- Representation of Complex Numbers in Form a Plus Ib (1)
- Argand Diagram (8)
- Algebra of Complex Numbers (2)
- Modulus and Argument (Or Amplitude) of a Complex Number (9)
- Triangle Inequality (1)
- Quadratic Equations in Real and Complex Number System (10)
- Relation between Roots and Coefficients (12)
- Nature of Roots (4)
- Cube Root of Unity (6)
- Geometry of Complex Number (2)
- Nth Root of Unity (1)
- Locus and Location of Roots (1)

## Matrices and Determinants (82)

- Matrices (3)
- Algebra of Matrices (23)
- Types of Matrices (14)
- Determinants and Matrices of Order Two and Three (5)
- Properties and Operations of Determinants (21)
- Evaluation of Determinants (4)
- Adjoint and Evaluation of Inverse of Square Matrix (4)
- Test of Consistency (3)
- Solution of Simultaneous Linear Equations in Two or Three Variables (5)

## Integral Calculus (151)

- Fundamental Integrals Involving Functions (4)
- Integration by Substitution (34)
- Integration Using Trigonometric Identities (11)
- Evaluation of Simple Integrals (3)
- Integral as Limit of a Sum (8)
- Fundamental Theorem of Calculus (7)
- Properties of Definite Integrals (44)
- Evaluation of Definite Integrals (17)
- Determining Areas of Regions Bounded by Simple Curves (23)

## Differential Equations (76)

- Ordinary Differential Equations (6)
- Formation of Differential Equations (6)
- Solution of Differential Equations (9)
- Method of Separation of Variables (14)
- Solution of Homogeneous Equations (8)
- Solutions of Linear Differential Equations (13)
- Solutions by Inspection (5)
- Solutions by Substitution (2)
- Equations Reducible to Homogeneous Form (2)
- Bernaulli's Equation (2)
- Orthogonal Trajectory (4)
- Equations Solvable for Y (1)
- Clairaut's Equation (2)
- Properties-Order and Degree (1)
- Singular Solution (1)

## Coordinate Geometry (203)

- Cartesian System of Rectangular Coordinates in Plane (1)
- Distance Formula (6)
- Section Formula (2)
- Slope of a Line (3)
- Parallel and Perpendicular Lines (7)
- Straight Lines (17)
- Equations of a Line (6)
- Intersection of Lines (3)
- Angles between Two Lines (1)
- Conditions for Concurrence of Three Lines (3)
- Distance of a Point from a Line (11)
- Equations of Internal and External Bisectors of Angles (5)
- Orthocenter and Circum-Center of a Triangle (4)
- Equation of Family of Lines (7)
- Circles (6)
- Conic Sections (1)
- Standard Form of Equation of a Circle (6)
- General Form of the Equation of a Circle (1)
- Circle - Radius and Centre (3)
- Equation of a Circle (8)
- Parabola (26)
- Ellipse (49)
- Hyperbola (25)
- Polar Coordinate System (2)

## Three Dimensional Geometry (51)

- Coordinates of a Point in Space (1)
- Distance Formula- Between Points, Lines & Shapes (15)
- Section Formula (2)
- Direction (4)
- Ratios and Direction Cosines (6)
- Angle between Two Intersecting Lines (6)
- Equations of 3-D Lines, Planes, and Solids in Different Forms (12)
- Intersections of Lines, Planes, & Solids (4)
- Volume of Three Dimensional Geometry (1)