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 =
, y =
∴ The point of intersection of the given lines is( −
,
)
Thus equation of the line parallel to y-axis and drawn through the point( −
,
) is x = −
which can be re-written as 22x + 5 = 0.
x – 7y + 5 = 0 ... (i)
and 3x + y = 0 ... (ii)
On solving (i) and (ii), we get
x =
∴ The point of intersection of the given lines is
Thus equation of the line parallel to y-axis and drawn through the point
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