straight lines question

The line joining A = ( b cosÎ±,b sinÎ± ) and B = ( acosÎ²,asinÎ² ) is produced to a point M(x,y) so that AM:BM = b:a. Prove that
x+y tan(Î±+Î²2) = 0.

1 Answers

Use the property of the angular bisector....

From the third vertex, the angular bisector divides the opposite side in the ratio of a:b where a, b are the lengths of the sides...

Here that is what is happening

So you have to find the angular bisector of the lines

y=xtan Î± and y = x tan Î²

Done [1]

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