Analytic Geometry Answers

Find the new equation of the curve (x-2)^2= y(y-1)^2 by the transforming to parallel axes through the point (2,1)

Find the equations of the tangent planes to the conicoid 7x^2-3y^2-z^2+21=0, which pass through the line 7x-6y+9=0, z=3

Does the equation 2/r= 3cos(θ-π/4)+ 2sin(θ+π/4) represent a straight line? Satisfy your answer

What surface is represented by x^2+y^2=9z? Give a rough sketch of it. Obtain the section of this surface by the plane y=0.

Show that the points (2,0,1), (0,4,-3), (-2,5,0) are non-collinear. Hence the equation of plane passing through them.

The projection of the line segment joining (1,2,-1), (4,2,1) on the line x/2=-y=z is 7/2
True or false with correct explanation

A whispering gallery has a semislliptical chilling that is 10m high and 32m. How high is the ceiling above the two foci?

A satellite dish in the shape of paraboloid is 10 ft. across, and 4 ft. deep at its vertex. How far is the receiver from the vertex, if it is placed at the focus? Round off your answer to 2 decimal places

Find the magnitude of this vector \\(a= -i+2j +2k\\)

what is the lenght of the conjugate axis?
(x-1)^2/25 -(y+3)^2/9=1