math_pre-calc

Find the equation of a circle that passes through the points (6,3) ans (-4,-3) and whose center lies on the line y=2x-7

  1. 👍 0
  2. 👎 0
  3. 👁 122
  1. Find the midpoint of the 2 given points
    that would be (1,0)
    - slope of the line joining those 2 points = 6/10 = 3/5
    - so the slope of the right-bisector of the segment joining the two points is -5/3
    - equation of that bisector is y = -(5/3)x + b
    (1,0) lies on it
    0 = -5/3 + b
    b = 5/3
    the centre must lie on y = -(5/3)x + 5/3 and y = 2x = 7

    solve the two equations to find the centre, take it from here

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Find the equation for the following circle: The circle that passes through the origin and has intercepts equal to 1 and 2 on the x- and y-axes, respectively.

    asked by fishbowl on August 8, 2008
  2. Maths

    4y-3x=25 is the tangent to the circle x^2+y^2=25 at the point P(-3,4). The equation of the radius of the circle that passes through P is... Working out is appreciated. Thanks a lot

    asked by Olivia on December 23, 2016
  3. maths

    A circle passes throughthe origin and the point (5/2,1/2) and has 2y-3x=0 as a diameter. Find its equation.

    asked by Sheelander on January 8, 2016
  4. math

    1. two circles. x^2+y^2-16x-8y+35=0 and x^2+y^2=5 are given. a. write the equations in the standard form. b.prove that the circles touch each other. c.hence calculate the equation of their common tangent 2. find the equation of a.

    asked by Anonymous on May 6, 2015
  5. math

    Find an equation of the circle that has center (-3,6) and passes through (4,-1)

    asked by . on November 2, 2016
  1. Math - Equations of plane(check)

    Consider the plane that contains points A(2,3,1), B(-11,1,2), C(-7,-3,-6). a) Find two vectors that are parallel to the plane. Ans: AC, BC or AB will be parallel to the plane. b) Find two vectors that are perpendicular to the

    asked by Shaila on September 6, 2010
  2. geometry

    The circle x^2 y^2 2gx 2fy c=0 passes through the points A(-1,-2),B(1,2)and C(2,3). Write down three equation which must satisfied g,f,c.

    asked by abews on February 3, 2013
  3. Math

    1. Points Q,R,S, and T lie on a circle with center P. If the radius of the circle is 1, what is the value of PQ+PR+PS+PT? 2. If 10^ab= 10,000, where a and b are positive integers, what is one possible value of a? 3. In the plane,

    asked by Leslie on November 5, 2010
  4. Geometry

    Write the equation of circle O centered at origin that passes through (9,-2) Circle B with center (0,-2) that passes through (-6,0) >For circle B, is the radius 6 in this case? So equation would be x^2+(x+2)^2=36, correct? If this

    asked by Peluche on March 16, 2016
  5. geometry

    Two circles of equal radius intersect each other such that each circle passes through the center of the other circle. Find the equation for the perimeter of this figure.

    asked by Leah on February 1, 2011
  6. steev

    can u help this the qustion is : A circle passes through the points (1,4)&(5,0) and its centre lies on the line x+y-3=0.Find (i) the equation of the circle and it parametric equations . (ii) the centre,diameter and area of the

    asked by math on December 28, 2011

You can view more similar questions or ask a new question.