Last updated at March 9, 2017 by Teachoo

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Misc 6 Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x – 7y + 5 = 0 and 3x + y = 0. First we calculate point of intersection of lines x – 7y + 5 = 0 & 3x + y = 0 Solving (1) x – 7y + 5 = 0 x = 7y − 5 Putting value of x in (2) 3x + y = 0 3(7y − 5) + y = 0 21y − 15 + y = 0 21y + y − 15 = 0 22y − 15 = 0 22y = 15 y = 15/22 Putting value of y = 15/22 in (1) x – 7y + 5 = 0 x – 7(15/22) + 5 = 0 x = 7(15/22) − 5 x = (15 × 7 − 22 × 5)/22 x = (105 − 110)/22 x = ( − 5)/22 Hence point of intersection is (( − 5)/22, 15/22) The equation of line parallel to y-axis is of the form x = p where p is some constant Given that this equation of line passing through point of intersection (( − 5)/22, 15/22) Hence point (( − 5)/22, 15/22) will satisfy the equation of line Putting x = ( − 5)/22 in the equation x = p ( − 5)/22 = p p = ( − 5)/22 Now required equation of line is x = p Putting values x = ( − 5)/22 Which is the required equation

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Misc 6 Important You are here

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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 provides courses for Mathematics from Class 9 to 12. You can ask questions here.