# 10. Straight Lines

“Blessed are those who can give without remembering and take without forgetting.”

## Select Lecture

How to study Straight Lines (Coordinate Geometry)
Arrangement of Straight Lines topic in NCERT
Meaning and Definition of Equation through Animations
How to find equation of any mathematical shape? Equation of Circle through Definition of Circle

Logical and Algebraical Meaning of Slope of a Line
We can find slope of line using any two passing points of line with proof
Relationship of Slope of line with angle made with positive direction of x-axis measured counter clockwise
How to judge graphical representation of a line using slope

Derivation for angles between two lines using their slopes
Condition of slopes if two lines are parallel
Condition of slopes if two lines are perpendicular
NCERT Exercise 10.1 (Q1 to Q7)

NCERT Exercise 10.1 (Q8 to Q14)
Equation of line using area of triangle rule and collinear condition

Minimum information required to form any equation
Point Slope form of Equation of a straight line
NCERT Exercise 10.2 (Q1 to Q8)

DERIVATIONS OF FORMULAS TO FIND EQUATION OF STRAIGHT LINES

Two-point form
NCERT Exercise 10.2 Question 7 using Two point form
Slope intercept form and meaning of intercept
NCERT Exercise 10.2 Question 5 using Slope intercept form
NCERT Exercise 10.2 Question 6 using Slope intercept form
Intercept form
Normal Form of Straight Line
NCERT Exercise 10.2 Question 8 using Normal Form

NCERT Exercise 10.2 (Q9 to Q13)

NCERT Exercise 10.2 (Q14 to Q20)

Standard Form of Equation of Straight Lines
NCERT Exercise 10.3 (Q1 to Q3)

Derivation for Distance between a point and a straight line
NCERT Exercise 10.3 (Q4 to Q6)

You will need to understand how to make equations and read information from equations before continuing
NCERT Exercise 10.2 (Q7 to Q13)

NCERT Exercise 10.3 (Q14 to Q18)

NCERT Exercise 10.3 Question 11
Miscellaneous Exercise (Q1 to Q7)

Miscellaneous Exercise (Q8 to Q12)

NCERT Miscellaneous Exercise (Q14 to Q19)

NCERT Miscellaneous Exercise (Q20 to Q24)

Miscellaneous Exercise (Q8 to Q12)