AP ICET 2016 Paper

Question : 117 of 200

Marks: +1, -0

(0,0),(0,4),(3,0)

are vertices of a triangle, then the distance between the circumcentre and the orthocentre of the triangle is

Solution:

Δ OAB is right- angled at O.
∴ Circumcentre of Δ OAB is the midpoint (S) of AB. coordinates of S

=({0+3}/2,{0+4}/2)

i.e;

S=(3/2,2)

O is the orthocenter.

∴ Distance between

OS=√{(3/2)^2+(2)^2}=5/2

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