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Questions  

The orthocenter of the triangle formed by the lines  x y = 0 and x + y = 1 is 

a
(1/2,1/2)
b
(1/3,113)
c
(0, 0)
d
(1/4,1/4)

detailed solution

Correct option is C

The lines by which triangle is formed are x=0,y=0,x+y=1.  Clearly, it is a right triangle. We know that in a right angled triangle, the orthocenter coincides with the vertex at which right angle is formed. Therefore, the orthocenter is (0, 0).

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