Questions
If a vertex of an equilateral triangle is the origin and the side opposite to it has the equation x + y = 1 then the orthocentre of the triangle is
a
13,13
b
23,23
c
23,23
d
None of these
detailed solution
Correct option is B
Clearly orthocentre ' H ' lies on the line x−y=0 Now distance of O(0,0) from the line x+y−1=0 is 12 . Centroid divides median in the ratio 2:1 ∴OH=23⋅12=23 (since triangle is equilateral, centroid coincides with orthocentre)∴ orthocentre ≡23,23Talk to our academic expert!
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