Analytic Geometry Answers

Find the standard form of the equation of circle whose center is at (4,3) which passes through the origin. Draw the circle

Identify an axis of revolution and generating conic of the surface 4x^2+25y^2+4z^2=100 . Does this conic also generates( x^2/4) +(y^2/25) + (z^2/4)=1 ? Give reason for your answer?

A rotating liquid forms a surface in the form of a paraboloid . The surface is 2m deep at the centre and 10 m across.Obtain an equation of the surface?

Which of the following statement are True? 1. x+y+z =0 touches the cone x ^2 + y^2+ z^2 +2(yz+zx+xy) =0 ?

The verticles of triangle ABC are: A(-2, -2), B(-5,-4),C(4,1). Round your answer to the nearest tenth.

a. Find the perimeter of the triangle

B. Find the area of the triangle

C. Johnathon says the triangle is a right triangle.
Do you agree or disagree. Why or why not ?

Angle between the lines x+3=0 and y+7=0

Write the equation for the hyperbola with foci (6,-5),(-4,-5) and conjugate axis of length 8?

Check whether or not the conicoid represented by 5x^2+4y^2-4yz+2xz+2x-4y-8z+2=0 is central or not.If it is,transform the equation by shifting the origin to the centre.Else,change any one coefficient to make the equation that of a central conicoid.

Check whether or not the conicoid represented by 5x^2+4y^2-4yz+2xz+2x-4y-8z+2=0 is central or not.If it is,transform the equation by shifting the origin to the centre.Else,change any one coefficient to make the equation that of a central conicoid.

How did you get pq = 80 - 16 = 64