Find the coordinates o the vertices of a triangle, the equations of whose sides are: `y(t_1+t_2)=2x+2a t_1a t_2,\ y(t_2+t_3)=2x+2a t_2t_3\ a n d\ , y(t_3+t_1)=2x+2a t_1t_3dot`

Explanation

Given `y(t_1+t_2)=2x+2a t_1a t_2.....(1)`

` y(t_2+t_3)=2x+2a t_2t_3`....(2)


` y(t_3+t_1)=2x+2a t_1t_3`....(3)

By solving (1) and (2) using cross – multiplication method, we get

`x=at_2^2` and `y=2at_1`

By solving (2) and (3) using cross – multiplication method, we get

`x=at_3^2` and `y=2at_3`

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