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Question

The equations of the lines through $$(1,\,1)$$ and making angles of $$45^{\circ}$$ with the line $$x+y=0$$ are


A
x1=0,xy=0
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B
xy=0,y1=0
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C
x+y2=0,y1=0
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D
x1=0,y1=0
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Solution

The correct option is C $$x-1=0,\,y-1=0$$
$$m=1,\,y-1=\dfrac{m\pm\,tan\,45^{\circ}}{1+\mp\,m\,tan\,45^{\circ}}(x-1)$$,
$$\Rightarrow\,y-1=\dfrac{(-1)\pm1}{1\pm1}(x-1)$$
$$\Rightarrow\,y=1,\,x=1$$

Mathematics

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