Orthocenter Of The Triangle With Vertices (0,0), (3, 4) And (4, 0) Is

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Orthocenter of the triangle with vertices (0,0), (3, 4) and (4, 0) is


Correct option is

(3, 3/4)

Let O (0, 0), A (3, 4) and B (4, 0) then equation of OB is y = 0. Equations of the altitudes from A and O are respectively x = 3 and y = (1/4) x so the orthocenter is (3, 3/4), the point of intersection of these altitudes. 



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x + 3y = 4 and 6x – 2y = 7, then PQRS must be a


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