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Question

The vertices of a triangle are A(0,0),B(0,2) and C(2,0). The distance between circumcenter and orthocenter is:

A
2
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B
12
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C
2
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D
12
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Solution

The correct option is A 2
Clearly given triangle is an isosceles right angle triangle .
So, we know that orthocentre will be at vertices A i.e (0,0).
(At which angle is 900)
And circumcenter will be mid point of hypotenuse i,e (1,1)
Thus required distance is =12+12=2

289848_290026_ans.PNG

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