Find the equations of two straight lines passing though (1,2) and making an angle of `60^@ ` with the line `x+y=0` . Find also the area of the triangle formed by the three lines.

Explanation

As we know, the equation of two lines passing through a point (x,y) and making an angle θ with the given line y=mx+C are


`y−y_1​=(m±tanθ)/(1±mtanθ)​(x−x_1​)`


Here, `x_1​`=1,y=2 (∵ lines passing through origin)


`θ=60^o `and m=`−1`

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