1. Find the equation of the circumscribed circle in a triangle whose vertices are (3,-2), (2,5) and (-1,6).
2. Using the family of circles, find the equation of the circle that passes through the intersections of the circles x²+ y²+16x+ 10y+ 24 = 0 and x²+ y²+4x-8y-6= 0 and passes through the origin.
Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.
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Solution:
Given:
To Find: The equation of the circumscribed circle in a triangle whose vertices are (3,-2) , (2,5) and (-1,6)
The General Equation of a Circle is given by the formula,
