# Maths

find the center and radii of the circle 3x^2-3y^2+4x-5y+2=0?

1. 👍 0
2. 👎 0
3. 👁 32
1. In the first place, x^2-y^2+... is not a circle. But, given that you know it's an hyperbola, just complete the squares to find its standard form.
3x^2-3y^2+4x-5y+2=0
3x^2+4x - 3y^2-5y = -2
x^2 + 4/3 x - y^2 - 5/3 y = -2/3
(x^2 + 4/3 x + (2/3)^2) - (y^2 + 5/3 y + (5/6)^2) = -2/3 + (2/3)^2 - (5/6)^2
(x + 2/3)^2 - (y + 5/6)^2 = -11/12
(y + 5/6)^2 / (11/12) - (x + 2/3)^2 / (11/12) = 1

1. 👍 0
2. 👎 0

## Similar Questions

1. ### math

An angle of 1.8 radians at the center of the circle subtends an arc of length 23.4cm. Find: (a) The radius of the circle (b) The area of the sector enclosed by the arc and the radii.

asked by kudu on February 24, 2015
2. ### college physics

A conductor in a shape of a spherical shell of radii 10 and 12cm in charged to 20 micro coloumb. 1) Find the electric field at the following radii: 2,11,15 cm. 2)Find the electric potential at each of these radii. Repeat part 1

asked by vishal on October 9, 2013
3. ### maths

Equilateral triangle ABC has a circumcircle Γ with center O and circumradius 10. Another circle Γ1 is drawn inside Γ such that it is tangential to radii OC and OB and circle Γ. The radius of Γ1 can be expressed in the form

asked by hemant on May 22, 2013
4. ### math

Equilateral triangle ABC has a circumcircle Γ with center O and circumradius 10. Another circle Γ1 is drawn inside Γ such that it is tangential to radii OC and OB and circle Γ. The radius of Γ1 can be expressed in the form

asked by Mathslover on May 25, 2013
5. ### GEOMETRY(CIRCLE)

Three circles with different radii have their centers on a line. The two smaller circles are inside the largest circle, and each circle is tangent to the other two. The radius of the largest circle is 10 meters. Together the area

asked by i need help from anyone! on March 25, 2013
6. ### Math

The points (4, –5) and (– 4, 1) are endpoints of a diameter of a circle. (a) Find the center of the circle. (b) Find the length of the radius of the circle. (Note that this is a distance.) Give the exact answer. Show work. (c)

asked by Kate on June 24, 2009
7. ### geometry

Given Circle D, if AC = 16 units, then what is the length of CB? A circle is drawn with center D. Two radii are drawn, AD and DC. Segment AC is drawn with a perpendicular, DB.

asked by Rob on August 31, 2010
8. ### Math

I have a question my brother asked me but I need a math expert. You have two interlocking circles and the radius of circle B goes through the center of circle A and of course the radius of circle A goes through the center of

asked by DrBob222 on June 25, 2013
9. ### calculus

Find all possible radii of circle centered at (3,6) so that the circle intersects only one axis

asked by Jack on September 13, 2010
10. ### math-geometry

The sum of the radii of two concentric circles is 40. A chord with length 36 of the larger circle is trisected by the smaller circle. The area of the smaller circle is k*pi. Find the value of k. Express your answer as an exact

asked by paragon on January 17, 2008
11. ### precalculus

The acceleration acting on a falling object due to gravity varies inversely with the square of the object's distance from the center of Earth. At the surface of Earth, where x = 1 Earth radius, the acceleration is y = 9.8 m/s2 1.

asked by Anonymous on January 20, 2011

More Similar Questions