First slide

Equation of line in Straight lines

Question

The equation of a line winch is equidistant from the lines $x = - 4$ and $x = 8$ , is

Moderate

A

$x = 2$
B

$x = 6$
C

$y = 2$
D

$y = 6$

Solution

The given lines are both parallel to $y -$ axis and the required line is equidistant from these lines. So, it is also Parallel to $y -$ axis at a distance of $\frac{1}{2} (- 4 + 8) = 2$ units from it. Hence, its equation is $x = 2 .$

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