Question

find equation of Line passing through (1,2) and making an angle of 45°with the line 2x+3y = 10​

Answer 1

Given that line passes through (1,2) making an angle of 300 with y axis.  

Angle made by line with x axis is 600  Slope of the line, m= \sqrt{3}

Equation of line passing through x1,y1 and having slope 'm' is  y-y1=m(x-x1)  

Here, (x1, y1)=(1,2) and m= \sqrt{3}

y-2= \sqrt{3}\left ( x-1 \right )

y-2= \sqrt{3}x- \sqrt{3}

\sqrt{3}x-y-\sqrt{3}+2=0

Answer 2

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