First slide

Equation of line in Straight lines

Question

Equation of a line passing through the intersection of the lines 7x – y + 2 = 0 and x – 3y + 6 = 0 parallel to x-axis is

Easy

A

y = 2
B

y = – 2
C

y = 3
D

y = – 3

Solution

Equation of any line through the intersection of given line is
$7 x - y + 2 + λ (x - 3 y + 6) = 0$
It will be parallel to x-axis if
$7 + λ = 0 \Rightarrow λ = - 7$ and the required equation is y = 2 .

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