Answer to Question #67234 in Geometry for janette

Question

CIRCLES
1.Find the equation of the circle with center at (2,3), tangent to the line 3x +4y + 2 = 0. Answer x2 + y2 -4y -6y - 3 = 0.
2.Find the equation of the circle tangent to both axes, radius 6, in the second quadrant. Answer x2 + y2 + 12x - 12y +36 = 0.
3.Find the equation of the line tangent to the circle x2 + y2 + 2x -4y = 0 at P(1,3) on the circle.

PARABOLA
1.Find the equation of the parabola with vertex at the origin which satisfies the given additional condition:

A.Focus(-3,0)
B.Directrix: y-2
C.Passing through (2,3) and axis along the x-axis
D.Passing through (2,3) and axis along the y-axis

Answer 1

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