SOLUTION: A circle is drawn through P(−2, 12), Q(4, 4) and O(0, 0). What are the coordinates of the centre of this circle?

Question 1162875: A circle is drawn through P(−2, 12), Q(4, 4) and O(0, 0). What are the coordinates of the centre of this circle?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Choose two of the given points: Calculate the slope of the line containing the line segment defined by those two points and find the midpoint of that line segment.

Repeat for another pair of given points.

Find an equation for a line that passes through the midpoint of one of the segments that has a slope that is the negative reciprocal of the slope of the line containing the segment.

Repeat for the other line segment.

Solve the 2X2 system of equations to determine the point of intersection which will be the center of the given circle.

John

My calculator said it, I believe it, that settles it

RELATED QUESTIONS
Points A(2, 1) and B (4, -5) like on a circle. If line 2x-y-13=0 is a tangent to the... (answered by josgarithmetic,MathTherapy)

A circle cuts the x-axis at (-2,0) and (4,0).It also cuts the y-axis at (0,2) and (0,-4). (answered by htmentor)

Given P = (−3, 1) and O the origin, describe the set of all points Q in the plane... (answered by longjonsilver)

A circle passes through the centre of a circle X^2 + Y^2 - 3X - 4Y - 1 = 0 and it's... (answered by KMST)

The straight line 3x-4y-3=0 cuts the circle x^2+y^2-4x-2y+4=0. Find (i)the coordinates of (answered by Alan3354,ikleyn)

What are the coordinates of centre of the circle given by the equation x 2 −2x+y... (answered by ikleyn)

Please help me solve this problems: 1.A circle whose centre lies on the line y=3x-1,... (answered by Alan3354)

1. Find the possible values of the constant m, for which the curve (m+5)x� + (m�- 1)y�... (answered by ikleyn)

determine the equation of a circle with centre o(0,0)and point p(9,-4) on its... (answered by robertb)