Post a New Question

maths

posted by .

the circle is given by the equation x^2+y^2+8x-7/2y=0
find
(i)coordinates of the centre and the radius
(ii)coordinates of the point where the circle crossesthe x-axis

  • maths -

    oh well

    x^2 + 8 x = -y^2 + 3.5 y

    x^2 + 8 x + 16 = -y^2 + 3.5 y + 16

    (x+4)^2 = -y^2 + 3.5 y + 16

    y^2 - 3.5 y = -(x+4)^2 + 16

    y^2 - 3.5 y + 3.0625 + (x+4)^2 = 19.0625

    (x+4)^2 + (y-1.75)^2 = 4.366^2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. maths

    1) Circle centre (7,-2) passes through (-2,10). Calculate radius and find equation of circle. 2) AB is diameter of circle A(9,5) B(-1,-7). Find equation of circle mid point. I know i have to use the eqn (x1+x2)/2 and (y1+y2)/2 3) Find …
  2. Maths

    In an orthonormal system, you're given the following: Point P(1,2) Lina a=cartesian eqn:4x-3y+6=0 Line b=parametric eqns:x=-5+3& y=-& (real n°) Circle z=cartesian eqn:x²+y²-2x-3=0 (a)Calculate the angle between lines a an b (b)Calculate …
  3. Mathematics

    In an orthonormal system, you're given the following: Point P(1,2) Lina a=cartesian eqn:4x-3y+6=0 Line b=parametric eqns:x=-5+3& y=-& (real n°) Circle z=cartesian eqn:x²+y²-2x-3=0 (a)Calculate the angle between lines a an b (b)Calculate …
  4. Trigonometry

    1) Find the coordinates of the point (-1,3) after the transformation T (to the -3,2 power) 2) What are the coordinates of point (-3,4) under D (to the 3rd power)?
  5. maths

    The equation of the circle is x(squared)+y(squared)-3x -4=0.Find : (i)the coordinates of its center and the radius (ii) the coordinates of the points at which it cuts the x-axis
  6. maths

    the equation of the circle is x^2+y^2+2x-8y-1=0. Find the coordinates of the point where the circle crosses the x-axis
  7. maths

    A circle x^2 + y^ + 2x - 2y -1 = 0 expressed in the following form (x-h)^2 + (y-k)^2 = r^2 where h, k are the coordinates of the centre. How is r the radius given?
  8. maths

    A circle x^2 + y^ + 2x - 2y -1 = 0 expressed in the following form (x-h)^2 + (y-k)^2 = r^2 where h, k are the coordinates of the centre. How is r the radius given?
  9. Geometry midpoint formula

    A circle on the Coordinate plane has a diameter with endpoints at (6,8) and (15,8). What are the coordinates of the center of the circle?
  10. math

    In the x y − xy− plane, the center of a circle has coordinates ( 6 , 10 ) (6,10) and the circle touches the y − y− axis at one point only. What is the radius of the circle

More Similar Questions

Post a New Question