AP EAMCET · Maths · Straight Lines
The quadratic equation whose roots are the coordinates of the circumcentre of the triangle formed by the points \((-2,-1),(6,-1)(2,5)\) is
- A \(x^2-5 x+6=0\)
- B \(2 x^2-9 x+9=0\)
- C \(3 x^2-8 x+4=0\)
- D \(6 x^2-13 x+6=0\)
Answer & Solution
Correct Answer
(C) \(3 x^2-8 x+4=0\)
Step-by-step Solution
Detailed explanation
Equation of perpendicular bisector of line joining points \(A(-2,-1)\) and \(B(6,-1)\) is \([\because\) mid-point of \(A B\) is \((2,-1)]\) and similarly equation of perpendicular bisector of line joining points \(B(6,-1)\) and \(C(2,5)\) is \([\because\) mid-point of \(B C\) is…
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