Find the center and radius of a circle with equation:

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Presentation transcript:

Write the equation of a circle in that passes through the point (5 , 4) and has a center at (2 , 0)

Find the center and radius of a circle with equation: x2 − 6x + y2 + 10y = 2

Find the center and radius of the circle with equation: x2 − 10x + y2 − 8y = − 32

Write the equation of a circle if the endpoints of the diameter are (—5, 6) and (1, —2)

Find the point on x-axis which is equidistant from (-2,5) and (2,3)

Classify the triangle A(-1, 2), B(4, 2), and C(3, -1) by sides.

Determine whether the points A(0, 5), B(0, -5), and C(-3, 3) are the vertices of a right triangle.

The midpoint of segment AB is M(3, —6). One endpoint is A(—4, —5 ) The midpoint of segment AB is M(3, —6). One endpoint is A(—4, —5 ). Find the coordinates of the other endpoint B.

The parallelogram PQRS has coordinates P(2,3), Q (8,1), and R(11,5) The parallelogram PQRS has coordinates P(2,3), Q (8,1), and R(11,5). What are the coordinates of point S?

Find the equation of the line tangent to the circle x2 + y2 = 25 at (3,4)

Find the intersection of the circles x2 + y2 = 4 and x2 + y2 - 4x - 4y = -4 Answer: (2, 0) and (0, 2)

Find the distance between the centers of the circles x2 + y2 + 8x + 7= 0 and x2 +y2—2x +4y – 4 = 0