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Question: Answered & Verified by Expert
The line $3 \mathrm{x}+4 \mathrm{y}-24=0$ intersects the $\mathrm{x}$ -axis at $\mathrm{A}$ and $\mathrm{y}$ -axis at $\mathrm{B}$. Then the circumcentre of the triangle $\mathrm{OAB}$ where $\mathrm{O}$ is the origin is
MathematicsStraight LinesNDANDA 2015 (Phase 2)
Options:
  • A $(2,3)$
  • B $(3,3)$
  • C $(4,3)$
  • D None of the above
Solution:
1128 Upvotes Verified Answer
The correct answer is: $(4,3)$


Since circumcentre of right angled triangle lies on the midpoint of hypotenuse.
So mid point of $\mathrm{AB}$ is $\left(\frac{0+8}{2}, \frac{6+0}{2}\right)$ or $(4,3)$

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