Math Problem Statement
What will be the circumcentre of a triangle whose sides are 3x - y + 3 = 0, 3x + 4y + 3 = 0 and x + 3y + 11 = 0? with straight line
Solution
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Intersection of Lines
Circumcenter of a Triangle
Formulas
Equation of a straight line: Ax + By + C = 0
Intersection of two lines: Solve simultaneous linear equations
Midpoint formula: ((x1 + x2)/2, (y1 + y2)/2)
Equation of perpendicular bisector: Find slope and midpoint
Theorems
Circumcenter Theorem: The circumcenter is the point of intersection of the perpendicular bisectors of the sides of a triangle.
Suitable Grade Level
Grades 11-12
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