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let equation of the side BC of a triangle ABC be x+Y+2=0 if coordinates of its orthocentre and circumcentre are (1,1) and (2,0) repectively, then radius of the circumcircle of triangle ABC is

let equation of the side BC of a triangle ABC be x+Y+2=0 if coordinates of its orthocentre and circumcentre are (1,1) and (2,0) repectively, then radius of the circumcircle of triangle ABC is 

Grade:11

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
one year ago
Dear Student

We know that image of orthocentre with respect to any line of the triangle will lie on the circumcircle. Using this, we can first find the point that lies on the circumcircle as we know

Orthocentre=(1,1)andequation BC= x+y+2=0.

Find the image. If you suppose get it as some P(a,b) find radius by distance formula.


Thanks

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