Unit-I: Sets and Functions

Chapter 1: Sets

10 Topics | 4 Quizzes
Chapter 2: Relations & Functions

14 Topics | 4 Quizzes
Chapter 3: Trigonometric Functions

15 Topics | 5 Quizzes
Unit-II: Algebra

Chapter 1: Principle of Mathematical Induction

3 Topics | 5 Quizzes
Chapter 2: Complex Numbers and Quadratic Equations

9 Topics | 4 Quizzes
Chapter 3: Linear Inequalities

6 Topics | 5 Quizzes
Chapter 4: Permutations and Combinations

4 Topics | 5 Quizzes
Chapter 5: Binomial Theorem

5 Topics | 5 Quizzes
Chapter 6: Sequence and Series

9 Topics | 1 Quiz
Unit-III: Coordinate Geometry

Chapter 1: Straight Lines

16 Topics | 5 Quizzes
Chapter 2: Conic Sections

5 Topics | 4 Quizzes
Chapter 3. Introduction to Three–dimensional Geometry

7 Topics | 4 Quizzes
Unit-IV: Calculus

Chapter 1: Limits and Derivatives

5 Topics | 1 Quiz
Unit-V: Mathematical Reasoning

Chapter 1: Mathematical Reasoning

15 Topics | 6 Quizzes
Unit-VI: Statistics and Probability

Chapter 1: Statistics

2 Topics | 1 Quiz
Chapter 2: Probability

3 Topics | 1 Quiz
Lesson Progress

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Inclination of a line is a real number as defined below:

(i) If a line is parallel to – axis or coincides with -axis then

(ii) If a line is not parallel to -axis then let it intersect -axis at a point .

Inclination of is given by

(iii) Inclination of or is defined as the inclination of

**Note:**

If is the inclination of a line then .

Parallel lines have same inclination and conversely.

Inclination of perpendicular line differ by .

Inclination is essentially an angle-measure. The only difference is that inclination can be zero, where as angle-measure can not be zero.

**Slope (Gradient) of Non-Vertical Line:**

The slope of a non-vertical line is given by , where is the inclination of the line.

**Note:**

Inclination , but slope .

Slope of a vertical line is not defined.

Slope of a line is positive, zero or negative according as the inclination of the line is less than , equal to or greater than respectively.

It is obvious that slope of a line is the ration of its rise or fall to its run

A line with positive slope looks like rising where a line with negative slope looks like falling as we move from left to right along the line.

**Positive Slope:**

**Negative Slope:**

**Zero Slope:**

**Undefined Slope:**

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