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Question: Answered & Verified by Expert
The sides of a triangle are $x=2, y+1=0$ and $x+2 y=4$. Its circumcentre is
MathematicsProperties of TrianglesCOMEDKCOMEDK 2017
Options:
  • A $(4,0)$
  • B $(2,-1)$
  • C $(0,4)$
  • D $(2,3)$
Solution:
2351 Upvotes Verified Answer
The correct answer is: $(4,0)$
The vertices are $(2,-1),(6,-1),(2,1)$ forming a right angled triangle. Circumcentre is the mid-point of the hypotenuse,



i.e., $\quad\left(\frac{6+2}{2}, \frac{1-1}{2}\right)=(4,0)$

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