# Ex 10.3, 5

Last updated at May 29, 2018 by Teachoo

Last updated at May 29, 2018 by Teachoo

Transcript

Ex 10.3, 5 Find the points on the x-axis, whose distances from the line ๐ฅ/3 + ๐ฆ/4 = 1 are 4 units. We need to find point on the x-axis Let any point on x-axis be P(x, 0) Given that perpendicular distance from point P(x, 0) from given line ๐ฅ/3 + ๐ฆ/4 = 1 is 4 Simplifying equation of line ๐ฅ/3 + ๐ฆ/4 = 1 (4๐ฅ + 3๐ฆ )/12 = 1 4x + 3y = 12 4x + 3y โ 12 = 0 We know that Perpendicular distance from point (x, y) to the line Ax + By + C = 0 is d = |๐ด๐ฅ1 + ๐ต๐ฆ1 + ๐|/โ(๐ด^2 + ๐ต^2 ) Given perpendicular distance of point P(x, 0) from line 4x + 3y โ 12 = 0 is 4 Here x1 = x , y1 = 0 & A = 4 , B = 3 , C = โ 12 & d = 4 Putting values 4 = |4(๐ฅ) + 3(0) โ 12|/โ(ใ(4)ใ^2 + ใ(3)ใ^2 ) 4 = |4๐ฅ โ 12|/โ(16 + 9) 4 = |4๐ฅ โ 12|/โ25 4 = |4๐ฅ โ 12|/5 4 ร 5 = |4๐ฅ โ 12| 20 = |4๐ฅ โ 12| |4๐ฅ โ 12| = 20 4x โ 12 = ยฑ 20 Thus, 4x โ 12 = 20 or 4x โ 12 = โ 20 Thus, x = 8 or x = โ 3 Hence the required points on x-axis are (8, 0) & ( โ 2, 0)

Chapter 10 Class 11 Straight Lines

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

Ex 10.2, 18 Important

Example 15 Important

Ex 10.3, 5 Important You are here

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

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.