Q.

The distance between the circumcentre and the orthocentre of the triangle whose vertices are 0,0,6,8, and −4,3 is L. Then the value of 25L is __

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answer is 5.

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Detailed Solution

Given vertices of triangle are O0,0, B6,8 and C−4,3. Slope of OB=86=43Slope of OC=34∴ ∠BOC=π2ΔBOC is right -angled at O.Circumcenter=Midpoint of hypotenuse BC=1,112Required distance  =1+1214=552units
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