Q. 3
Find the equation of two straight lines which are parallel to x + 7y + 2 = 0 and at unit distance from the point (1, -1).
Answer :
Given: equation is parallel to x + 7y + 2 = 0 and at unit distance from the point (1, -1)
To find: equation of two straight lines
Explanation:
The equation of given line is
x + 7y + 2 = 0 … (1)
The equation of a line parallel to line x + 7y + 2 = 0 is given below:
X + 7y + λ = 0 … (2)
The line x + 7y + λ = 0 is at a unit distance from the point (1, − 1).
∴ 1 = 1 – 7 + λ1 + 49
Hence, the required lines:
and
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