The equations of the lines through `(-1,-1)` and making angle `45^@` with the line `x+y=0` are given byA. `x^(2) -xy + x - y =0`B. `xy -y^(2) + x - y = 0`C. `xy + xy+ y=0`D. `xy + x+ y +1=0`

The equations of the lines through `(-1,-1)` and making angle `45^@` w

1.	The equations of the lines through `(-1,-1)` and making angle `45^@` with the line `x+y=0` are given byA. `x^(2) -xy + x - y =0`B. `xy -y^(2) + x - y = 0`C. `xy + xy+ y=0`D. `xy + x+ y +1=0`
Answer» Correct Answer - D The equations of the lies passing through `(x_(1),y_(1))` and making an angle `alpha` with y = mx + c are given by `y-y_(1) =(m pm tan alpha)/(1 barpm m tan alpha )(x-x_(1))` So, the eqauations of the required lines are `y+ 1 = 0` and x + 1=0 The combined equation of these tow lines is `(x +1) (y+1) = 0` i.e., `xy + x+y +1=0`

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The equations of the lines through `(-1,-1)` and making angle `45^@` with the line `x+y=0` are given byA. `x^(2) -xy + x - y =0`B. `xy -y^(2) + x - y = 0`C. `xy + xy+ y=0`D. `xy + x+ y +1=0`

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