NCERT Class XI Mathematics - Straight Lines - Solutions

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Question : 59
Total: 74
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.
Solution:  
Given equation of lines are
x – 7y + 5 = 0 ... (i)
and 3x + y = 0 ... (ii)
On solving (i) and (ii), we get
x =
5
22
, y =
15
22

∴ The point of intersection of the given lines is (
5
22
,
15
22
)

Thus equation of the line parallel to y-axis and drawn through the point (
5
22
,
15
22
)
is x =
5
22
which can be re-written as 22x + 5 = 0.
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