# Ex 10.2, 14

Last updated at March 9, 2017 by Teachoo

Last updated at March 9, 2017 by Teachoo

Transcript

Ex10.2, 14 Find equation of the line through the point (0, 2) making an angle 2๐/3 with the positive x-axis. Also, find the equation of line parallel to it and crossing the y-axis at a distance of 2 units below the origin. Let AB be the line passing through P(0, 2) & making an angle 2๐/3 with positive x-axis Slope of line AB = tan ฮธ = tan (2๐/3) = tan (120ยฐ) = tan (180 โ 60ยฐ ) = โ tan (60ยฐ) = โ โ3 We know that Equation of line passing through (x0, y0) & having slope m (y โ y0) = m (x โ x0) Equation of line AB passing through (0, 2) & having slope - โ3 (y โ 2) = โ โ3(x โ 0) y โ 2= โ โ3x y + โ3x = 0 + 2 โ3x + y = 2 Hence, equation of line AB is โ3x + y = 2 Also, we have to find equation of line which is parallel to line AB & crossing at a distance of 2 unit below the origin Let CD be the line parallel to AB & passing through point R(0, โ2) We know that if two lines are parallel their slopes are equal Therefore , Slope of CD = Slope of AB Slope of CD = โโ3 Now Equation of line passing through point (x0, y0) & having slope m (y โ y0) = m (x โ x0) Equation of line CD passing through (0, -2) & slope โโ3 (y โ (-2)) = โโ3 (x โ 0) (y + 2) = โ3 (x) (y + 2) = โโ3 x y + โ3 x + 2 = 0 โ3 ๐ฅ + y + 2 = 0 Hence equation of line CD = โ3 ๐ฅ + y + 2 = 0

Ex 10.1, 5
Important

Ex 10.1, 7 Important

Ex 10.1, 9 Important

Ex 10.1, 13 Important

Ex 10.2, 8 Important

Ex 10.2, 14 Important You are here

Ex 10.2, 18 Important

Example 15 Important

Ex 10.3, 5 Important

Ex 10.3, 8 Important

Ex 10.3, 10 Important

Ex 10.3, 16 Important

Ex 10.3, 18 Important

Example 22 Important

Misc 6 Important

Misc 12 Important

Misc 18 Important

Misc 23 Important

Class 11

Important Question for exams Class 11

- Chapter 1 Class 11 Sets
- Chapter 2 Class 11 Relations and Functions
- Chapter 3 Class 11 Trigonometric Functions
- Chapter 4 Class 11 Mathematical Induction
- Chapter 5 Class 11 Complex Numbers
- Chapter 6 Class 11 Linear Inequalities
- Chapter 7 Class 11 Permutations and Combinations
- Chapter 8 Class 11 Binomial Theorem
- Chapter 9 Class 11 Sequences and Series
- Chapter 10 Class 11 Straight Lines
- Chapter 11 Class 11 Conic Sections
- Chapter 12 Class 11 Introduction to Three Dimensional Geometry
- Chapter 13 Class 11 Limits and Derivatives
- Chapter 14 Class 11 Mathematical Reasoning
- Chapter 15 Class 11 Statistics
- Chapter 16 Class 11 Probability

About the Author

CA Maninder Singh

CA Maninder Singh is a Chartered Accountant for the past 8 years. He provides courses for Practical Accounts, Taxation and Efiling at teachoo.com .