Analytic Geometry Answers

Write an equation for the set of all points in the plane equidistant from (0,–6) and y= –10.

Write your answer in vertex form. Simplify any fractions.

The equation of the plane passing through the point (1, –2, 4) and perpendicular to the line, whose direction ratios are 2, 4, –1 is

1 Determine k for which line (k + 2)x + (k^2 -9)y + 3k^2 - 8k + 5 =0 is 1, parallel to y axis 2, parallel to x axis 3, pass through origin 4, pass through (1,1)

Determine the value of a and b for which the two lines ax - 2y = 0 and 6x - 4y = b 1have exactly one intersection point 2 are distnict parallel lines 3 concide 4 perpendicular to eachother

Determine value of a and b for which the two lines ax - 2y =2 and 6x - 4y =b 1 have exactly one intersection point 2 are distnict parallel lines 3 concid 4 perpendicular

Find an equation of the sphere that has center (2,3,-1) and contains the point (1,7,-9)

Find an equation of the sphere that has radius 1 and center in the first octant and is tangent to each coordinate plane

Find an equation of the sphere that has endpoints of a diameter at A and B

A(1,4,-2) B(-7,1,2)

Find an equation of the sphere with center c that is tangent to (a) the xy-plane, (b) the xz- plane and (c) the yz-plane

(i)C(-2,4,-6)

Find an equation of the sphere with center c that is tangent to (a) the xy-plane, (b) the xz- plane and (c) the yz-plane

(i)C(-2,4,-6)