Analytic Geometry Answers

What is the equation of the circle with center at (2,5) passing through (-5,5) and (-1,1)

Find the intersection point of the given two circles
(x-1)²+(y-3)²=10 and x²+(y-1)²=5

4. Two stations, located at M(−1.5, 0) and N(1.5, 0) (units are in km), simultaneously send sound signals to a ship, with the signal traveling at the speed of 0.33 m/s. If the signal from N was received by the ship four seconds before the signal it received from M, find the equation of the curve containing the possible location of the ship.

Draw the parabola with the equation: 4x

2 + 6x − 3y = 4.

Draw the circle whose equation is given by 3x 2 + 3y 2 + 6x − 9y = 2.

Determine the equation of the line whose slope is -4 and the line crosses the y-axis at
(0, -2/3).

Find the equation of the line that is parallel to 4x-5y = 2 and whose distance from the
given line is 5.

a=(2i+3j) , b=(4i-2j) and c=(1i+4j) evaluate the volume of the shape

1. If the Center of a circle is at (2, -7) and a point on the circle (5,6) find the formula of the circle.

2. What surfaces in R3 are represented by the following equations?
z = 3
y = 5


3. Find an equation of a sphere with radius r and center C(h, k, l).

4. Show that x2 + y2 + z2 + 4x – 6y + 2z + 6 = 0 is the equation of a sphere. Also, find its center and radius.

The equation of a circle is x2 + y2 = 29.

Determine which point lies on the circle.