AP EAMCET · Maths · Straight Lines
The circumcentre of the triangle with vertices \((-2,3)\), \((2,-1),(4,0)\) is
- A \(\left(\frac{3}{2}, \frac{5}{2}\right)\)
- B \(\left(\frac{3}{2}, \frac{-5}{2}\right)\)
- C \(\left(\frac{-3}{2}, \frac{5}{2}\right)\)
- D \(\left(\frac{-3}{2}, \frac{-5}{2}\right)\)
Answer & Solution
Correct Answer
(A) \(\left(\frac{3}{2}, \frac{5}{2}\right)\)
Step-by-step Solution
Detailed explanation
Given the vertices \((-2,3),(2,-1), \&(4,0)\) Let \(O(x, y)\) be the circumcentre of the triangle. Let \(\triangle \mathrm{ABC}\) be the triangle. Then \(\mathrm{OA}=\mathrm{OB}=\mathrm{OC}\)…
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