SLOPE OF PARALLEL AND PERPENDICULAR LINES, STRAIGHT LINES CLASS 11 ISC ICSE CBSE NCERT THEOREMS

SLOPE OF PARALLEL AND PERPENDICULAR LINES, STRAIGHT LINES THEOREMS, Straight Lines Theorem, Condition of Parallelism and Perpendicularity of Lines of their Slopes

Mathsphy

Let’s now start about the Straight Lines

We are already familiar about the straight Lines concept however what we know from the previous classes is very basic form of straight lines. This chapter ere from class 11th will take up advance form of straight lines and give us new way to think and work.

Lets begin Straight Lines from class 11th :

What we are going to take up will be:

Slope of a Line
When \theta is acute
When \theta is obtuse
Condition of parallelism and perpendicularity of lines in terms of their slopes
Condition of parallelism and perpendicularity of lines in terms of their slopes
Angle between two lines
If \frac{m2\ -m1}{1+m2.m1} is positive then, tan\theta will be positive and tan \varphi will be negative which means \theta will be acute and \varphi will be obtuse
If \frac{m2\ -m1}{1+m2.m1} is negative then, tan\theta will be negative and tan \varphi will be positive which means \theta will be obtuse and \varphi will be acute
In this case the acute angle between lines, is given by:
\frac{m_2\ -m_1}{1+m_2\ m_1}
Various Forms of the Equation of a Line

Horizontal and Vertical Lines
Various Forms of the Equation of a Line

Point Slope Form

Various Forms of the Equation of a Line
Two - point Form

Various Forms of the Equation of a Line
Slope – intercept Form

Various Forms of the Equation of a Line
Intercept Form

Various Forms of the Equation of a Line
Normal Form

General Equation of a Line
Ax + By + C = 0
Slope – intercept form

General Equation of a Line
Ax + By + C = 0
Intercept form

General Equation of a Line
Ax + By + C = 0
Normal form

Distance of a Point from the Line

Distance between two parallel lines

We will take all of them one by one in different videos. I have done complete basic videos and then solved questions from NCERT and Exemplar syllabus.

Please use this link for the YouTube playlist of Class 11th Math:
Ellipse Important Questions Class 11 Exemplar and NCERT Solutions

3D Geometry Class 11th

Relations and Functions Important Questions Class 11 Exemplar and NCERT Solutions

Trigonometric Functions Important Questions Class 11 Exemplar and NCERT Solutions

Linear Inequalities Important Questions Class 11 Exemplar and NCERT Solutions

Permutation and Combination Important Questions Class 11 Exemplar and NCERT Solutions

Binomial Theorem Important Questions Class 11 Exemplar and NCERT Solutions

Straight Lines Important Questions Class 11 Exemplar and NCERT Solutions

Hyperbola Important Questions Class 11 Exemplar and NCERT Solutions

Parabola Important Questions Class 11 Exemplar and NCERT Solutions

Circle Important Questions Class 11 Exemplar and NCERT Solutions

Sets Important Questions Class 11 Exemplar and NCERT Solutions

Class 11 Math Important Practice Questions

Class 11 I have: Sets, Relations and Functions, Trigonometric Functions, Permutations and Combinations, Linear Inequality, Binomial Theorem, Straight Lines, Conic Sections.

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