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find the 3 rd vertex of triangle if its orthocentre is at origin & its two vertex are (5,-1) & (-2,3).

find the 3rd vertex of triangle if its orthocentre is at origin & its two vertex are (5,-1) & (-2,3).

Grade:11

1 Answers

Vijay Mukati
askIITians Faculty 2590 Points
6 years ago
HInt.: Assume the third vertex to be (x,y). Now find the equations of the three altitutdes from the three vertices. Solve the three equaition to get the orthocenter. Since orthocenter is at origin, therfore equate the cordinate to zero to get the values of x and y. Thanks.

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