First slide

Equation of line in Straight lines

Question

The equation of the pair of lines through the point $(a, b)$ parallel to the coordinates axes, is

Easy

A

$(x - a) (y + b) = 0$
B

$(x - b) (y - a) = 0$
C

$(x - a) (y - b) = 0$
D

$(x + a) (y - b) = 0$

Solution

The equations of lines parallel to the coordinate axes and passing through $(a, b)$ are $x = a$ and $y = b .$ So, their combined equation is $(x - a) (y - b) = 0 .$

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