First slide

Pair of straight lines

Question

The combined equations of the lines through (-1,-1) and making an angle $45^{0}$ with the line x+y=0 are given by

Moderate

A

$x^{2} - x y + x - y = 0$
B

$x y - y^{2} + x - y = 0$
C

$x y + x + y = 0$
D

$x y + x + y + 1 = 0$

Solution

The lines will be parallel to coordinate axes given by (x+1) (y+1)=0
$\Rightarrow x y + x + y + 1 = 0$

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