Analytic Geometry Answers

Find the distance between the following pair of points
A) the origin and (-√3,√6)

Determine whether each of the following points is inside, outside, or on the circle with equation x^2+y^2=5.
A) (-1,2)
B) (3/2,2)
C) (-1,3/2)

Find the distance between the following pair of points
A) (-1,0) and (3,0)
B) (1,-2) and (1,4)
C) (-2,3) and (2,0)
E) (a,a) and (-a,-a)
F) (a,b) and (-a,-b)

A circle passes through the points A(-1,2),B (3,4) C(2,3).determine it's equation

Express
(2,π/6 in rectangular coordinates

Express r=1+2cos∅ from polar to cartesian form

Given the ellipse whose equation is
9x² +4y² + 36x -24y+36=0 find
The coordinates of its centre
The length of the major and minor axes
The coordinates of its vertices and foci

A hyperbola has the equation
16x²-9y²+64x-90y =305
Find its center,foci,vertices, length of latus rectum and equation of the asymptotes

Determine the equation of the tangents at the end of the latus rectum of the parabola with the equation
x²+4x-8y-4=0

The equation of a circle is given as
X²+y²-8x+2y+13=0
What is the centre and radius of the circle
Prove that the point D(6,-1)lies on the circle
Find the equation of the tangent to the circle at that point

If two collinear vectors A and B are added, the resultant has a magnitude equal to 4.0. If B is subtracted from A, the resultant has a magnitude equal to 8.0. What is the magnitude of A?