Find the equation of the line parallel to y-axis and draw through the point of intersection of the lines x - 7 y + 5 = 0 and 3x + y = 0

Solution:

The equation of any line parallel to the y-axis is of the form

x = a ....(1)

The two given lines are

x - 7y + 5 = 0 ....(2)

3x + y = 0 ....(3)

On solving equations (2) and (3), we obtain

x = - 5/22 and x = - 15/22

Therefore, (- 5/22, - 15/22) is the point of intersection of lines (2) and (3).

Since, line x = a passes through point (- 5/22, - 15/22), a = - 5/22

Thus, the required equation of the line is x = - 5/22

NCERT Solutions Class 11 Maths Chapter 10 Exercise ME Question 6

Find the equation of the line parallel to y-axis and draw through the point of intersection of the lines x - 7 y + 5 = 0 and 3x + y = 0

Summary:

The equation of the line parallel to y-axis and draw through the point of intersection of the lines x - 7 y + 5 = 0 and 3x + y = 0 is x = -5/22