10. Straight Lines

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

STRAIGHT LINES CLASS 11 MATHS

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10. Straight Lines 1
Lecture - 1

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

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10. Straight Lines 2
Lecture - 2

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

10. Straight Lines 3
Lecture - 3

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)

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10. Straight Lines 4
Lecture - 4

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

10. Straight Lines 5
Lecture - 5

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

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10. Straight Lines 6
Lecture - 6

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

10. Straight Lines 7
Lecture - 7

NCERT Exercise 10.2 (Q9 to Q13)

10. Straight Lines 8
Lecture - 8

NCERT Exercise 10.2 (Q14 to Q20)

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10. Straight Lines 9
Lecture - 9

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

10. Straight Lines 10
Lecture - 10

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

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10. Straight Lines 11
Lecture - 11

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

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10. Straight Lines 12
Lecture - 12

NCERT Exercise 10.3 (Q14 to Q18)

10. Straight Lines 13
Lecture - 13

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

10. Straight Lines 14
Lecture - 14

Miscellaneous Exercise (Q8 to Q12)

10. Straight Lines 15
Lecture - 15

NCERT Miscellaneous Exercise (Q14 to Q19)

10. Straight Lines 16
Lecture - 16

NCERT Miscellaneous Exercise (Q20 to Q24)

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10. Straight Lines 17
Lecture - 17

Miscellaneous Exercise (Q8 to Q12)

10. Straight Lines 18
Lecture - 18

Equation of Family of lines passing through the point of intersection of two lines with examples and animation
NCERT Supplementary Exercise 10.4 (Q1 to Q4)

10. Straight Lines 19
Lecture - 19

Purpose of coordinate axes
Geometric Shapes follows “rigid body motion”
All equations have two information related to geometric shapes
Geometrical proof for benefits of shifting of origin
Transformation or translation of axes has two parts : shifting of origin and rotation of axes
Derivation for relation between new origin, old coordinate and new coordinate
NCERT Supplementary Exercise 10.5 (Q1 & Q2)